What is the Least Common Multiple of 65709 and 65728?

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 of 65709 and 65728 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 65728, than apply into the LCM equation.

GCF(65709,65728) = 1
LCM(65709,65728) = ( 65709 × 65728) / 1
LCM(65709,65728) = 4318921152 / 1
LCM(65709,65728) = 4318921152

Least Common Multiple (LCM) of 65709 and 65728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65709 and 65728. First we will calculate the prime factors of 65709 and 65728.

Prime Factorization of 65709

Prime Factorization of 65728

Now multiplying the highest exponent prime factors to calculate the LCM of 65709 and 65728.

LCM(65709,65728) = 3² × 7² × 149¹ × 2⁶ × 13¹ × 79¹
LCM(65709,65728) = 4318921152