What is the Least Common Multiple of 52942 and 52951?

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 52942 and 52951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52942 and 52951, than apply into the LCM equation.

GCF(52942,52951) = 1
LCM(52942,52951) = ( 52942 × 52951) / 1
LCM(52942,52951) = 2803331842 / 1
LCM(52942,52951) = 2803331842

Least Common Multiple (LCM) of 52942 and 52951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52942 and 52951. First we will calculate the prime factors of 52942 and 52951.

Prime Factorization of 52942

Prime Factorization of 52951

Now multiplying the highest exponent prime factors to calculate the LCM of 52942 and 52951.

LCM(52942,52951) = 2¹ × 103¹ × 257¹ × 52951¹
LCM(52942,52951) = 2803331842