What is the Least Common Multiple of 65234 and 65252?

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 65234 and 65252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65234 and 65252, than apply into the LCM equation.

GCF(65234,65252) = 2
LCM(65234,65252) = ( 65234 × 65252) / 2
LCM(65234,65252) = 4256648968 / 2
LCM(65234,65252) = 2128324484

Least Common Multiple (LCM) of 65234 and 65252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65234 and 65252. First we will calculate the prime factors of 65234 and 65252.

Prime Factorization of 65234

Prime Factorization of 65252

Now multiplying the highest exponent prime factors to calculate the LCM of 65234 and 65252.

LCM(65234,65252) = 2² × 13² × 193¹ × 11¹ × 1483¹
LCM(65234,65252) = 2128324484