What is the Least Common Multiple of 54257 and 54271?

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 54257 and 54271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54257 and 54271, than apply into the LCM equation.

GCF(54257,54271) = 7
LCM(54257,54271) = ( 54257 × 54271) / 7
LCM(54257,54271) = 2944581647 / 7
LCM(54257,54271) = 420654521

Least Common Multiple (LCM) of 54257 and 54271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54257 and 54271. First we will calculate the prime factors of 54257 and 54271.

Prime Factorization of 54257

Prime Factorization of 54271

Now multiplying the highest exponent prime factors to calculate the LCM of 54257 and 54271.

LCM(54257,54271) = 7¹ × 23¹ × 337¹ × 7753¹
LCM(54257,54271) = 420654521