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What is the Least Common Multiple of 64932 and 64952?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 64932 and 64952 is 1054365816.

LCM(64932,64952) = 1054365816

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Least Common Multiple of 64932 and 64952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64932 and 64952, than apply into the LCM equation.

GCF(64932,64952) = 4
LCM(64932,64952) = ( 64932 × 64952) / 4
LCM(64932,64952) = 4217463264 / 4
LCM(64932,64952) = 1054365816

Least Common Multiple (LCM) of 64932 and 64952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64932 and 64952. First we will calculate the prime factors of 64932 and 64952.

Prime Factorization of 64932

Prime factors of 64932 are 2, 3, 7, 773. Prime factorization of 64932 in exponential form is:

64932 = 22 × 31 × 71 × 7731

Prime Factorization of 64952

Prime factors of 64952 are 2, 23, 353. Prime factorization of 64952 in exponential form is:

64952 = 23 × 231 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 64932 and 64952.

LCM(64932,64952) = 23 × 31 × 71 × 7731 × 231 × 3531
LCM(64932,64952) = 1054365816