What is the Least Common Multiple of 53131 and 53137?

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 53131 and 53137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53131 and 53137, than apply into the LCM equation.

GCF(53131,53137) = 1
LCM(53131,53137) = ( 53131 × 53137) / 1
LCM(53131,53137) = 2823221947 / 1
LCM(53131,53137) = 2823221947

Least Common Multiple (LCM) of 53131 and 53137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53131 and 53137. First we will calculate the prime factors of 53131 and 53137.

Prime Factorization of 53131

Prime Factorization of 53137

Now multiplying the highest exponent prime factors to calculate the LCM of 53131 and 53137.

LCM(53131,53137) = 13¹ × 61¹ × 67¹ × 7¹ × 7591¹
LCM(53131,53137) = 2823221947