What is the Least Common Multiple of 65724 and 65733?

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 65724 and 65733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65724 and 65733, than apply into the LCM equation.

GCF(65724,65733) = 3
LCM(65724,65733) = ( 65724 × 65733) / 3
LCM(65724,65733) = 4320235692 / 3
LCM(65724,65733) = 1440078564

Least Common Multiple (LCM) of 65724 and 65733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65724 and 65733. First we will calculate the prime factors of 65724 and 65733.

Prime Factorization of 65724

Prime Factorization of 65733

Now multiplying the highest exponent prime factors to calculate the LCM of 65724 and 65733.

LCM(65724,65733) = 2² × 3¹ × 5477¹ × 21911¹
LCM(65724,65733) = 1440078564