GCF and LCM Calculator Logo

What is the Least Common Multiple of 15110 and 15127?

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 15110 and 15127 is 228568970.

LCM(15110,15127) = 228568970

LCM Calculator and
and

Least Common Multiple of 15110 and 15127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15110 and 15127, than apply into the LCM equation.

GCF(15110,15127) = 1
LCM(15110,15127) = ( 15110 × 15127) / 1
LCM(15110,15127) = 228568970 / 1
LCM(15110,15127) = 228568970

Least Common Multiple (LCM) of 15110 and 15127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15110 and 15127. First we will calculate the prime factors of 15110 and 15127.

Prime Factorization of 15110

Prime factors of 15110 are 2, 5, 1511. Prime factorization of 15110 in exponential form is:

15110 = 21 × 51 × 15111

Prime Factorization of 15127

Prime factors of 15127 are 7, 2161. Prime factorization of 15127 in exponential form is:

15127 = 71 × 21611

Now multiplying the highest exponent prime factors to calculate the LCM of 15110 and 15127.

LCM(15110,15127) = 21 × 51 × 15111 × 71 × 21611
LCM(15110,15127) = 228568970