What is the Least Common Multiple of 65352 and 65359?

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 65352 and 65359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65352 and 65359, than apply into the LCM equation.

GCF(65352,65359) = 7
LCM(65352,65359) = ( 65352 × 65359) / 7
LCM(65352,65359) = 4271341368 / 7
LCM(65352,65359) = 610191624

Least Common Multiple (LCM) of 65352 and 65359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65352 and 65359. First we will calculate the prime factors of 65352 and 65359.

Prime Factorization of 65352

Prime Factorization of 65359

Now multiplying the highest exponent prime factors to calculate the LCM of 65352 and 65359.

LCM(65352,65359) = 2³ × 3¹ × 7¹ × 389¹ × 9337¹
LCM(65352,65359) = 610191624