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What is the Least Common Multiple of 27374 and 27379?

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 27374 and 27379 is 749472746.

LCM(27374,27379) = 749472746

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Least Common Multiple of 27374 and 27379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27374 and 27379, than apply into the LCM equation.

GCF(27374,27379) = 1
LCM(27374,27379) = ( 27374 × 27379) / 1
LCM(27374,27379) = 749472746 / 1
LCM(27374,27379) = 749472746

Least Common Multiple (LCM) of 27374 and 27379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27374 and 27379. First we will calculate the prime factors of 27374 and 27379.

Prime Factorization of 27374

Prime factors of 27374 are 2, 13687. Prime factorization of 27374 in exponential form is:

27374 = 21 × 136871

Prime Factorization of 27379

Prime factors of 27379 are 11, 19, 131. Prime factorization of 27379 in exponential form is:

27379 = 111 × 191 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 27374 and 27379.

LCM(27374,27379) = 21 × 136871 × 111 × 191 × 1311
LCM(27374,27379) = 749472746