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What is the Least Common Multiple of 27976 and 27992?

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 27976 and 27992 is 97888024.

LCM(27976,27992) = 97888024

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Least Common Multiple of 27976 and 27992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27976 and 27992, than apply into the LCM equation.

GCF(27976,27992) = 8
LCM(27976,27992) = ( 27976 × 27992) / 8
LCM(27976,27992) = 783104192 / 8
LCM(27976,27992) = 97888024

Least Common Multiple (LCM) of 27976 and 27992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27976 and 27992. First we will calculate the prime factors of 27976 and 27992.

Prime Factorization of 27976

Prime factors of 27976 are 2, 13, 269. Prime factorization of 27976 in exponential form is:

27976 = 23 × 131 × 2691

Prime Factorization of 27992

Prime factors of 27992 are 2, 3499. Prime factorization of 27992 in exponential form is:

27992 = 23 × 34991

Now multiplying the highest exponent prime factors to calculate the LCM of 27976 and 27992.

LCM(27976,27992) = 23 × 131 × 2691 × 34991
LCM(27976,27992) = 97888024