GCF and LCM Calculator Logo

What is the Least Common Multiple of 27510 and 27518?

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 27510 and 27518 is 378510090.

LCM(27510,27518) = 378510090

LCM Calculator and
and

Least Common Multiple of 27510 and 27518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27510 and 27518, than apply into the LCM equation.

GCF(27510,27518) = 2
LCM(27510,27518) = ( 27510 × 27518) / 2
LCM(27510,27518) = 757020180 / 2
LCM(27510,27518) = 378510090

Least Common Multiple (LCM) of 27510 and 27518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27510 and 27518. First we will calculate the prime factors of 27510 and 27518.

Prime Factorization of 27510

Prime factors of 27510 are 2, 3, 5, 7, 131. Prime factorization of 27510 in exponential form is:

27510 = 21 × 31 × 51 × 71 × 1311

Prime Factorization of 27518

Prime factors of 27518 are 2, 13759. Prime factorization of 27518 in exponential form is:

27518 = 21 × 137591

Now multiplying the highest exponent prime factors to calculate the LCM of 27510 and 27518.

LCM(27510,27518) = 21 × 31 × 51 × 71 × 1311 × 137591
LCM(27510,27518) = 378510090