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What is the Least Common Multiple of 27928 and 27938?

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 27928 and 27938 is 390126232.

LCM(27928,27938) = 390126232

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Least Common Multiple of 27928 and 27938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27928 and 27938, than apply into the LCM equation.

GCF(27928,27938) = 2
LCM(27928,27938) = ( 27928 × 27938) / 2
LCM(27928,27938) = 780252464 / 2
LCM(27928,27938) = 390126232

Least Common Multiple (LCM) of 27928 and 27938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27928 and 27938. First we will calculate the prime factors of 27928 and 27938.

Prime Factorization of 27928

Prime factors of 27928 are 2, 3491. Prime factorization of 27928 in exponential form is:

27928 = 23 × 34911

Prime Factorization of 27938

Prime factors of 27938 are 2, 61, 229. Prime factorization of 27938 in exponential form is:

27938 = 21 × 611 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 27928 and 27938.

LCM(27928,27938) = 23 × 34911 × 611 × 2291
LCM(27928,27938) = 390126232