What is the Least Common Multiple of 53851 and 53857?

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 53851 and 53857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53851 and 53857, than apply into the LCM equation.

GCF(53851,53857) = 1
LCM(53851,53857) = ( 53851 × 53857) / 1
LCM(53851,53857) = 2900253307 / 1
LCM(53851,53857) = 2900253307

Least Common Multiple (LCM) of 53851 and 53857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53851 and 53857. First we will calculate the prime factors of 53851 and 53857.

Prime Factorization of 53851

Prime Factorization of 53857

Now multiplying the highest exponent prime factors to calculate the LCM of 53851 and 53857.

LCM(53851,53857) = 7³ × 157¹ × 53857¹
LCM(53851,53857) = 2900253307