GCF and LCM Calculator Logo

What is the Least Common Multiple of 92981 and 92987?

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 92981 and 92987 is 8646024247.

LCM(92981,92987) = 8646024247

LCM Calculator and
and

Least Common Multiple of 92981 and 92987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92981 and 92987, than apply into the LCM equation.

GCF(92981,92987) = 1
LCM(92981,92987) = ( 92981 × 92987) / 1
LCM(92981,92987) = 8646024247 / 1
LCM(92981,92987) = 8646024247

Least Common Multiple (LCM) of 92981 and 92987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92981 and 92987. First we will calculate the prime factors of 92981 and 92987.

Prime Factorization of 92981

Prime factors of 92981 are 7, 37, 359. Prime factorization of 92981 in exponential form is:

92981 = 71 × 371 × 3591

Prime Factorization of 92987

Prime factors of 92987 are 92987. Prime factorization of 92987 in exponential form is:

92987 = 929871

Now multiplying the highest exponent prime factors to calculate the LCM of 92981 and 92987.

LCM(92981,92987) = 71 × 371 × 3591 × 929871
LCM(92981,92987) = 8646024247