What is the Least Common Multiple of 61257 and 61271?

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 61257 and 61271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61257 and 61271, than apply into the LCM equation.

GCF(61257,61271) = 7
LCM(61257,61271) = ( 61257 × 61271) / 7
LCM(61257,61271) = 3753277647 / 7
LCM(61257,61271) = 536182521

Least Common Multiple (LCM) of 61257 and 61271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61257 and 61271. First we will calculate the prime factors of 61257 and 61271.

Prime Factorization of 61257

Prime Factorization of 61271

Now multiplying the highest exponent prime factors to calculate the LCM of 61257 and 61271.

LCM(61257,61271) = 3¹ × 7¹ × 2917¹ × 8753¹
LCM(61257,61271) = 536182521