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What is the Least Common Multiple of 27926 and 27942?

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 27926 and 27942 is 390154146.

LCM(27926,27942) = 390154146

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Least Common Multiple of 27926 and 27942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27926 and 27942, than apply into the LCM equation.

GCF(27926,27942) = 2
LCM(27926,27942) = ( 27926 × 27942) / 2
LCM(27926,27942) = 780308292 / 2
LCM(27926,27942) = 390154146

Least Common Multiple (LCM) of 27926 and 27942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27926 and 27942. First we will calculate the prime factors of 27926 and 27942.

Prime Factorization of 27926

Prime factors of 27926 are 2, 13963. Prime factorization of 27926 in exponential form is:

27926 = 21 × 139631

Prime Factorization of 27942

Prime factors of 27942 are 2, 3, 4657. Prime factorization of 27942 in exponential form is:

27942 = 21 × 31 × 46571

Now multiplying the highest exponent prime factors to calculate the LCM of 27926 and 27942.

LCM(27926,27942) = 21 × 139631 × 31 × 46571
LCM(27926,27942) = 390154146