What is the Least Common Multiple of 51696 and 51705?

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 51696 and 51705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51696 and 51705, than apply into the LCM equation.

GCF(51696,51705) = 9
LCM(51696,51705) = ( 51696 × 51705) / 9
LCM(51696,51705) = 2672941680 / 9
LCM(51696,51705) = 296993520

Least Common Multiple (LCM) of 51696 and 51705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51696 and 51705. First we will calculate the prime factors of 51696 and 51705.

Prime Factorization of 51696

Prime Factorization of 51705

Now multiplying the highest exponent prime factors to calculate the LCM of 51696 and 51705.

LCM(51696,51705) = 2⁴ × 3³ × 359¹ × 5¹ × 383¹
LCM(51696,51705) = 296993520