GCF and LCM Calculator Logo

What is the Least Common Multiple of 65709 and 65727?

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 65709 and 65727 is 479872827.

LCM(65709,65727) = 479872827

LCM Calculator and
and

Least Common Multiple of 65709 and 65727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65709 and 65727, than apply into the LCM equation.

GCF(65709,65727) = 9
LCM(65709,65727) = ( 65709 × 65727) / 9
LCM(65709,65727) = 4318855443 / 9
LCM(65709,65727) = 479872827

Least Common Multiple (LCM) of 65709 and 65727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65709 and 65727. First we will calculate the prime factors of 65709 and 65727.

Prime Factorization of 65709

Prime factors of 65709 are 3, 7, 149. Prime factorization of 65709 in exponential form is:

65709 = 32 × 72 × 1491

Prime Factorization of 65727

Prime factors of 65727 are 3, 67, 109. Prime factorization of 65727 in exponential form is:

65727 = 32 × 671 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 65709 and 65727.

LCM(65709,65727) = 32 × 72 × 1491 × 671 × 1091
LCM(65709,65727) = 479872827