What is the Least Common Multiple of 65253 and 65268?

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 65253 and 65268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65253 and 65268, than apply into the LCM equation.

GCF(65253,65268) = 3
LCM(65253,65268) = ( 65253 × 65268) / 3
LCM(65253,65268) = 4258932804 / 3
LCM(65253,65268) = 1419644268

Least Common Multiple (LCM) of 65253 and 65268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65253 and 65268. First we will calculate the prime factors of 65253 and 65268.

Prime Factorization of 65253

Prime Factorization of 65268

Now multiplying the highest exponent prime factors to calculate the LCM of 65253 and 65268.

LCM(65253,65268) = 3² × 21751¹ × 2² × 7² × 37¹
LCM(65253,65268) = 1419644268