GCF and LCM Calculator Logo

What is the Least Common Multiple of 31110 and 31128?

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 31110 and 31128 is 161398680.

LCM(31110,31128) = 161398680

LCM Calculator and
and

Least Common Multiple of 31110 and 31128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31110 and 31128, than apply into the LCM equation.

GCF(31110,31128) = 6
LCM(31110,31128) = ( 31110 × 31128) / 6
LCM(31110,31128) = 968392080 / 6
LCM(31110,31128) = 161398680

Least Common Multiple (LCM) of 31110 and 31128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31110 and 31128. First we will calculate the prime factors of 31110 and 31128.

Prime Factorization of 31110

Prime factors of 31110 are 2, 3, 5, 17, 61. Prime factorization of 31110 in exponential form is:

31110 = 21 × 31 × 51 × 171 × 611

Prime Factorization of 31128

Prime factors of 31128 are 2, 3, 1297. Prime factorization of 31128 in exponential form is:

31128 = 23 × 31 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 31110 and 31128.

LCM(31110,31128) = 23 × 31 × 51 × 171 × 611 × 12971
LCM(31110,31128) = 161398680