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The LCM of 24 and 32 is 96. To determine the least common multiple of two numbers, determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor). The prime factors of 24 are 2, 2, 2, and 3. The prime factors of 32 are 2, 2, 2, 2, and 2. The prime factors in common are 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 = 8. The least common multiple or least common denominator is 24 x 32 ÷ 8 = 96.
The GCF of 12 and 22 is 2 One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 22 are 1, 2, 11, and 22. The common factors are 1 and 2. Therefore, the greatest common factor is 2
The factors of 22 are 1, 2, 11, and 22.The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.The largest factor they have in common is 2, therefore 2 is the greatest common factor.Or, you can use the prime factors to determine the greatest common factor.The prime factors of 22 are 2 and 11.The prime factors of 40 are 2, 2, 2, and 5.The prime factors they have in common are a single 2, so 2 is the greatest common factor.The GCF is 2.