GCF and LCM Calculator Logo

What is the Least Common Multiple of 65639 and 65653?

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 65639 and 65653 is 615628181.

LCM(65639,65653) = 615628181

LCM Calculator and
and

Least Common Multiple of 65639 and 65653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65639 and 65653, than apply into the LCM equation.

GCF(65639,65653) = 7
LCM(65639,65653) = ( 65639 × 65653) / 7
LCM(65639,65653) = 4309397267 / 7
LCM(65639,65653) = 615628181

Least Common Multiple (LCM) of 65639 and 65653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65639 and 65653. First we will calculate the prime factors of 65639 and 65653.

Prime Factorization of 65639

Prime factors of 65639 are 7, 9377. Prime factorization of 65639 in exponential form is:

65639 = 71 × 93771

Prime Factorization of 65653

Prime factors of 65653 are 7, 83, 113. Prime factorization of 65653 in exponential form is:

65653 = 71 × 831 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 65639 and 65653.

LCM(65639,65653) = 71 × 93771 × 831 × 1131
LCM(65639,65653) = 615628181