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What is the Least Common Multiple of 68376 and 68390?

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 68376 and 68390 is 334016760.

LCM(68376,68390) = 334016760

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Least Common Multiple of 68376 and 68390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68376 and 68390, than apply into the LCM equation.

GCF(68376,68390) = 14
LCM(68376,68390) = ( 68376 × 68390) / 14
LCM(68376,68390) = 4676234640 / 14
LCM(68376,68390) = 334016760

Least Common Multiple (LCM) of 68376 and 68390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68376 and 68390. First we will calculate the prime factors of 68376 and 68390.

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

Prime Factorization of 68390

Prime factors of 68390 are 2, 5, 7, 977. Prime factorization of 68390 in exponential form is:

68390 = 21 × 51 × 71 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 68376 and 68390.

LCM(68376,68390) = 23 × 31 × 71 × 111 × 371 × 51 × 9771
LCM(68376,68390) = 334016760