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What is the Least Common Multiple of 68358 and 68372?

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 68358 and 68372 is 2336886588.

LCM(68358,68372) = 2336886588

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Least Common Multiple of 68358 and 68372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68358 and 68372, than apply into the LCM equation.

GCF(68358,68372) = 2
LCM(68358,68372) = ( 68358 × 68372) / 2
LCM(68358,68372) = 4673773176 / 2
LCM(68358,68372) = 2336886588

Least Common Multiple (LCM) of 68358 and 68372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68358 and 68372. First we will calculate the prime factors of 68358 and 68372.

Prime Factorization of 68358

Prime factors of 68358 are 2, 3, 11393. Prime factorization of 68358 in exponential form is:

68358 = 21 × 31 × 113931

Prime Factorization of 68372

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

68372 = 22 × 170931

Now multiplying the highest exponent prime factors to calculate the LCM of 68358 and 68372.

LCM(68358,68372) = 22 × 31 × 113931 × 170931
LCM(68358,68372) = 2336886588