What is the Least Common Multiple of 65123 and 65140?

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 65123 and 65140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65123 and 65140, than apply into the LCM equation.

GCF(65123,65140) = 1
LCM(65123,65140) = ( 65123 × 65140) / 1
LCM(65123,65140) = 4242112220 / 1
LCM(65123,65140) = 4242112220

Least Common Multiple (LCM) of 65123 and 65140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65123 and 65140. First we will calculate the prime factors of 65123 and 65140.

Prime Factorization of 65123

Prime Factorization of 65140

Now multiplying the highest exponent prime factors to calculate the LCM of 65123 and 65140.

LCM(65123,65140) = 65123¹ × 2² × 5¹ × 3257¹
LCM(65123,65140) = 4242112220