GCF and LCM Calculator Logo

What is the Least Common Multiple of 3110 and 3120?

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 3110 and 3120 is 970320.

LCM(3110,3120) = 970320

LCM Calculator and
and

Least Common Multiple of 3110 and 3120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3110 and 3120, than apply into the LCM equation.

GCF(3110,3120) = 10
LCM(3110,3120) = ( 3110 × 3120) / 10
LCM(3110,3120) = 9703200 / 10
LCM(3110,3120) = 970320

Least Common Multiple (LCM) of 3110 and 3120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3110 and 3120. First we will calculate the prime factors of 3110 and 3120.

Prime Factorization of 3110

Prime factors of 3110 are 2, 5, 311. Prime factorization of 3110 in exponential form is:

3110 = 21 × 51 × 3111

Prime Factorization of 3120

Prime factors of 3120 are 2, 3, 5, 13. Prime factorization of 3120 in exponential form is:

3120 = 24 × 31 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 3110 and 3120.

LCM(3110,3120) = 24 × 51 × 3111 × 31 × 131
LCM(3110,3120) = 970320