GCF and LCM Calculator Logo

What is the Least Common Multiple of 65981 and 65996?

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 65981 and 65996 is 4354482076.

LCM(65981,65996) = 4354482076

LCM Calculator and
and

Least Common Multiple of 65981 and 65996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65981 and 65996, than apply into the LCM equation.

GCF(65981,65996) = 1
LCM(65981,65996) = ( 65981 × 65996) / 1
LCM(65981,65996) = 4354482076 / 1
LCM(65981,65996) = 4354482076

Least Common Multiple (LCM) of 65981 and 65996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65981 and 65996. First we will calculate the prime factors of 65981 and 65996.

Prime Factorization of 65981

Prime factors of 65981 are 65981. Prime factorization of 65981 in exponential form is:

65981 = 659811

Prime Factorization of 65996

Prime factors of 65996 are 2, 7, 2357. Prime factorization of 65996 in exponential form is:

65996 = 22 × 71 × 23571

Now multiplying the highest exponent prime factors to calculate the LCM of 65981 and 65996.

LCM(65981,65996) = 659811 × 22 × 71 × 23571
LCM(65981,65996) = 4354482076