GCF and LCM Calculator Logo

What is the Least Common Multiple of 27631 and 27642?

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 27631 and 27642 is 763776102.

LCM(27631,27642) = 763776102

LCM Calculator and
and

Least Common Multiple of 27631 and 27642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27631 and 27642, than apply into the LCM equation.

GCF(27631,27642) = 1
LCM(27631,27642) = ( 27631 × 27642) / 1
LCM(27631,27642) = 763776102 / 1
LCM(27631,27642) = 763776102

Least Common Multiple (LCM) of 27631 and 27642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27631 and 27642. First we will calculate the prime factors of 27631 and 27642.

Prime Factorization of 27631

Prime factors of 27631 are 27631. Prime factorization of 27631 in exponential form is:

27631 = 276311

Prime Factorization of 27642

Prime factors of 27642 are 2, 3, 17, 271. Prime factorization of 27642 in exponential form is:

27642 = 21 × 31 × 171 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 27631 and 27642.

LCM(27631,27642) = 276311 × 21 × 31 × 171 × 2711
LCM(27631,27642) = 763776102