GCF and LCM Calculator Logo

What is the Least Common Multiple of 64986 and 65001?

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 64986 and 65001 is 1408051662.

LCM(64986,65001) = 1408051662

LCM Calculator and
and

Least Common Multiple of 64986 and 65001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64986 and 65001, than apply into the LCM equation.

GCF(64986,65001) = 3
LCM(64986,65001) = ( 64986 × 65001) / 3
LCM(64986,65001) = 4224154986 / 3
LCM(64986,65001) = 1408051662

Least Common Multiple (LCM) of 64986 and 65001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64986 and 65001. First we will calculate the prime factors of 64986 and 65001.

Prime Factorization of 64986

Prime factors of 64986 are 2, 3, 10831. Prime factorization of 64986 in exponential form is:

64986 = 21 × 31 × 108311

Prime Factorization of 65001

Prime factors of 65001 are 3, 47, 461. Prime factorization of 65001 in exponential form is:

65001 = 31 × 471 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 64986 and 65001.

LCM(64986,65001) = 21 × 31 × 108311 × 471 × 4611
LCM(64986,65001) = 1408051662