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What is the Least Common Multiple of 68372 and 68379?

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 68372 and 68379 is 4675208988.

LCM(68372,68379) = 4675208988

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Least Common Multiple of 68372 and 68379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68372 and 68379, than apply into the LCM equation.

GCF(68372,68379) = 1
LCM(68372,68379) = ( 68372 × 68379) / 1
LCM(68372,68379) = 4675208988 / 1
LCM(68372,68379) = 4675208988

Least Common Multiple (LCM) of 68372 and 68379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68372 and 68379. First we will calculate the prime factors of 68372 and 68379.

Prime Factorization of 68372

Prime factors of 68372 are 2, 17093. Prime factorization of 68372 in exponential form is:

68372 = 22 × 170931

Prime Factorization of 68379

Prime factors of 68379 are 3, 23, 991. Prime factorization of 68379 in exponential form is:

68379 = 31 × 231 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 68372 and 68379.

LCM(68372,68379) = 22 × 170931 × 31 × 231 × 9911
LCM(68372,68379) = 4675208988