What is the Least Common Multiple of 65748 and 65764?

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 65748 and 65764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65748 and 65764, than apply into the LCM equation.

GCF(65748,65764) = 4
LCM(65748,65764) = ( 65748 × 65764) / 4
LCM(65748,65764) = 4323851472 / 4
LCM(65748,65764) = 1080962868

Least Common Multiple (LCM) of 65748 and 65764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65748 and 65764. First we will calculate the prime factors of 65748 and 65764.

Prime Factorization of 65748

Prime Factorization of 65764

Now multiplying the highest exponent prime factors to calculate the LCM of 65748 and 65764.

LCM(65748,65764) = 2² × 3¹ × 5479¹ × 41¹ × 401¹
LCM(65748,65764) = 1080962868