Best Answer

18 in pime exponents is 2*32

24 in prime exponents is 23*3

LCM: 23*32 = 72

Q: Lcm of 18 and 24 using prime factorization?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

Product of two numbers a and b = LCM(a,b) x GCF(a,b)...(1)Here, product of 18 and 360 = 6480Now, we shall find GCF of 18 and 360 by using the method of prime factorization.Prime factorization of 18 = 2x3x3Prime factorization of 360 = 2x2x2x3x3x5It is clear from the prime factorization that gcf = 18Now using (1) we can find LCM:LCM(18,360) = Product of 18 and 360/GCF(18,360) = 6480/18 = 360So, LCM and GCF of 18 & 360 is 360 and 18.Also, it is important to note that 360 is divisible by 18 then GCF is 18 and LCM is 360.

2 x 32 = 18

3x5x6 = 90LCM of 18 and 30 = 90 Prime factorization of:18 = 2 * 3 * 330 = 2 * 3 .....* 5===========LCM=2 *3 * 3 * 5 = 90

Draw the prime factorization table and put both the numbers on it. Find common prime factors and divide both of them writing the products down. Do this until the quotients are either 1 or any prime number. Write down all the factors used and it will be the prime factorization. Multiply them and you will find the LCM of the numbers. Here, 18,21 6,7...................(/3) Prime factorization=6*7*3 LCM=42*3=126

2 x 3 x 3 = 18 2 x 2 x 2 x 3 = 24 2 x 2 x 2 x 3 x 3 = 72, the LCM

Related questions

It is: 144

It is: 32*25 = 288

Product of two numbers a and b = LCM(a,b) x GCF(a,b)...(1)Here, product of 18 and 360 = 6480Now, we shall find GCF of 18 and 360 by using the method of prime factorization.Prime factorization of 18 = 2x3x3Prime factorization of 360 = 2x2x2x3x3x5It is clear from the prime factorization that gcf = 18Now using (1) we can find LCM:LCM(18,360) = Product of 18 and 360/GCF(18,360) = 6480/18 = 360So, LCM and GCF of 18 & 360 is 360 and 18.Also, it is important to note that 360 is divisible by 18 then GCF is 18 and LCM is 360.

2 x 3 x 3 = 18 2 x 2 x 5 = 20 The GCF is 2. The LCM is 180.

2 x 3 x 3 = 18 2 x 11 = 22 2 x 3 x 3 x 11 = 198, the LCM

18 = 2*32

18 = 21 x 32

2 x 3 x 3 = 18 3 x 7 = 21 2 x 3 x 3 x 7 = 126, the LCM

2 x 3 x 3 = 18 3 x 3 x 5 = 45 2 x 3 x 3 x 5 = 90, the LCM

2 x 32 = 18

The greatest common factor of 12, 18, and 28 is 2.The prime factorization of 12 is 2*2*3The prime factorization of 18 is 2*3*3The prime factorization of 28 is 2*2*7So the greatest common factor of the set is 2.

8 = 23 18 = 2 × 32