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Product of two numbers a and b = LCM(a,b) x GCF(a,b)...(1)
Here, product of 18 and 360 = 6480
Now, we shall find GCF of 18 and 360 by using the method of prime factorization.
Prime factorization of 18 = 2x3x3
Prime factorization of 360 = 2x2x2x3x3x5
It is clear from the prime factorization that gcf = 18
Now using (1) we can find LCM:
LCM(18,360) = Product of 18 and 360/GCF(18,360) = 6480/18 = 360
So, 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.
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