GCF and LCM Calculator Logo

What is the Least Common Multiple of 11962 and 11980?

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 11962 and 11980 is 71652380.

LCM(11962,11980) = 71652380

LCM Calculator and
and

Least Common Multiple of 11962 and 11980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11962 and 11980, than apply into the LCM equation.

GCF(11962,11980) = 2
LCM(11962,11980) = ( 11962 × 11980) / 2
LCM(11962,11980) = 143304760 / 2
LCM(11962,11980) = 71652380

Least Common Multiple (LCM) of 11962 and 11980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11962 and 11980. First we will calculate the prime factors of 11962 and 11980.

Prime Factorization of 11962

Prime factors of 11962 are 2, 5981. Prime factorization of 11962 in exponential form is:

11962 = 21 × 59811

Prime Factorization of 11980

Prime factors of 11980 are 2, 5, 599. Prime factorization of 11980 in exponential form is:

11980 = 22 × 51 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 11962 and 11980.

LCM(11962,11980) = 22 × 59811 × 51 × 5991
LCM(11962,11980) = 71652380