What is the Least Common Multiple of 64253 and 64257?

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 64253 and 64257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64253 and 64257, than apply into the LCM equation.

GCF(64253,64257) = 1
LCM(64253,64257) = ( 64253 × 64257) / 1
LCM(64253,64257) = 4128705021 / 1
LCM(64253,64257) = 4128705021

Least Common Multiple (LCM) of 64253 and 64257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64253 and 64257. First we will calculate the prime factors of 64253 and 64257.

Prime Factorization of 64253

Prime Factorization of 64257

Now multiplying the highest exponent prime factors to calculate the LCM of 64253 and 64257.

LCM(64253,64257) = 7¹ × 67¹ × 137¹ × 3¹ × 21419¹
LCM(64253,64257) = 4128705021