What is the Least Common Multiple of 51696 and 51706?

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 51706 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 51706, than apply into the LCM equation.

GCF(51696,51706) = 2
LCM(51696,51706) = ( 51696 × 51706) / 2
LCM(51696,51706) = 2672993376 / 2
LCM(51696,51706) = 1336496688

Least Common Multiple (LCM) of 51696 and 51706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51696 and 51706. First we will calculate the prime factors of 51696 and 51706.

Prime Factorization of 51696

Prime Factorization of 51706

Now multiplying the highest exponent prime factors to calculate the LCM of 51696 and 51706.

LCM(51696,51706) = 2⁴ × 3² × 359¹ × 103¹ × 251¹
LCM(51696,51706) = 1336496688