What is the Least Common Multiple of 51519 and 51532?

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 51519 and 51532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51519 and 51532, than apply into the LCM equation.

GCF(51519,51532) = 13
LCM(51519,51532) = ( 51519 × 51532) / 13
LCM(51519,51532) = 2654877108 / 13
LCM(51519,51532) = 204221316

Least Common Multiple (LCM) of 51519 and 51532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51519 and 51532. First we will calculate the prime factors of 51519 and 51532.

Prime Factorization of 51519

Prime Factorization of 51532

Now multiplying the highest exponent prime factors to calculate the LCM of 51519 and 51532.

LCM(51519,51532) = 3¹ × 13¹ × 1321¹ × 2² × 991¹
LCM(51519,51532) = 204221316