GCF and LCM Calculator Logo

What is the Least Common Multiple of 6110 and 6127?

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 6110 and 6127 is 37435970.

LCM(6110,6127) = 37435970

LCM Calculator and
and

Least Common Multiple of 6110 and 6127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6110 and 6127, than apply into the LCM equation.

GCF(6110,6127) = 1
LCM(6110,6127) = ( 6110 × 6127) / 1
LCM(6110,6127) = 37435970 / 1
LCM(6110,6127) = 37435970

Least Common Multiple (LCM) of 6110 and 6127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6110 and 6127. First we will calculate the prime factors of 6110 and 6127.

Prime Factorization of 6110

Prime factors of 6110 are 2, 5, 13, 47. Prime factorization of 6110 in exponential form is:

6110 = 21 × 51 × 131 × 471

Prime Factorization of 6127

Prime factors of 6127 are 11, 557. Prime factorization of 6127 in exponential form is:

6127 = 111 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 6110 and 6127.

LCM(6110,6127) = 21 × 51 × 131 × 471 × 111 × 5571
LCM(6110,6127) = 37435970