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What is the Least Common Multiple of 76932 and 76952?

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 76932 and 76952 is 1480017816.

LCM(76932,76952) = 1480017816

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Least Common Multiple of 76932 and 76952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76932 and 76952, than apply into the LCM equation.

GCF(76932,76952) = 4
LCM(76932,76952) = ( 76932 × 76952) / 4
LCM(76932,76952) = 5920071264 / 4
LCM(76932,76952) = 1480017816

Least Common Multiple (LCM) of 76932 and 76952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76932 and 76952. First we will calculate the prime factors of 76932 and 76952.

Prime Factorization of 76932

Prime factors of 76932 are 2, 3, 2137. Prime factorization of 76932 in exponential form is:

76932 = 22 × 32 × 21371

Prime Factorization of 76952

Prime factors of 76952 are 2, 9619. Prime factorization of 76952 in exponential form is:

76952 = 23 × 96191

Now multiplying the highest exponent prime factors to calculate the LCM of 76932 and 76952.

LCM(76932,76952) = 23 × 32 × 21371 × 96191
LCM(76932,76952) = 1480017816