GCF and LCM Calculator Logo

What is the Least Common Multiple of 2963 and 2980?

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 2963 and 2980 is 8829740.

LCM(2963,2980) = 8829740

LCM Calculator and
and

Least Common Multiple of 2963 and 2980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2963 and 2980, than apply into the LCM equation.

GCF(2963,2980) = 1
LCM(2963,2980) = ( 2963 × 2980) / 1
LCM(2963,2980) = 8829740 / 1
LCM(2963,2980) = 8829740

Least Common Multiple (LCM) of 2963 and 2980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2963 and 2980. First we will calculate the prime factors of 2963 and 2980.

Prime Factorization of 2963

Prime factors of 2963 are 2963. Prime factorization of 2963 in exponential form is:

2963 = 29631

Prime Factorization of 2980

Prime factors of 2980 are 2, 5, 149. Prime factorization of 2980 in exponential form is:

2980 = 22 × 51 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2963 and 2980.

LCM(2963,2980) = 29631 × 22 × 51 × 1491
LCM(2963,2980) = 8829740