What is the Least Common Multiple of 52851 and 52868?

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 52851 and 52868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52851 and 52868, than apply into the LCM equation.

GCF(52851,52868) = 1
LCM(52851,52868) = ( 52851 × 52868) / 1
LCM(52851,52868) = 2794126668 / 1
LCM(52851,52868) = 2794126668

Least Common Multiple (LCM) of 52851 and 52868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52851 and 52868. First we will calculate the prime factors of 52851 and 52868.

Prime Factorization of 52851

Prime Factorization of 52868

Now multiplying the highest exponent prime factors to calculate the LCM of 52851 and 52868.

LCM(52851,52868) = 3¹ × 79¹ × 223¹ × 2² × 13217¹
LCM(52851,52868) = 2794126668