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What is the Least Common Multiple of 76929 and 76935?

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 76929 and 76935 is 1972844205.

LCM(76929,76935) = 1972844205

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Least Common Multiple of 76929 and 76935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76929 and 76935, than apply into the LCM equation.

GCF(76929,76935) = 3
LCM(76929,76935) = ( 76929 × 76935) / 3
LCM(76929,76935) = 5918532615 / 3
LCM(76929,76935) = 1972844205

Least Common Multiple (LCM) of 76929 and 76935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76929 and 76935. First we will calculate the prime factors of 76929 and 76935.

Prime Factorization of 76929

Prime factors of 76929 are 3, 25643. Prime factorization of 76929 in exponential form is:

76929 = 31 × 256431

Prime Factorization of 76935

Prime factors of 76935 are 3, 5, 23, 223. Prime factorization of 76935 in exponential form is:

76935 = 31 × 51 × 231 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 76929 and 76935.

LCM(76929,76935) = 31 × 256431 × 51 × 231 × 2231
LCM(76929,76935) = 1972844205