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What is the Least Common Multiple of 68364 and 68376?

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 68364 and 68376 is 389538072.

LCM(68364,68376) = 389538072

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Least Common Multiple of 68364 and 68376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68364 and 68376, than apply into the LCM equation.

GCF(68364,68376) = 12
LCM(68364,68376) = ( 68364 × 68376) / 12
LCM(68364,68376) = 4674456864 / 12
LCM(68364,68376) = 389538072

Least Common Multiple (LCM) of 68364 and 68376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68364 and 68376. First we will calculate the prime factors of 68364 and 68376.

Prime Factorization of 68364

Prime factors of 68364 are 2, 3, 211. Prime factorization of 68364 in exponential form is:

68364 = 22 × 34 × 2111

Prime Factorization of 68376

Prime factors of 68376 are 2, 3, 7, 11, 37. Prime factorization of 68376 in exponential form is:

68376 = 23 × 31 × 71 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 68364 and 68376.

LCM(68364,68376) = 23 × 34 × 2111 × 71 × 111 × 371
LCM(68364,68376) = 389538072