What is the Least Common Multiple of 51036 and 51056?

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 51036 and 51056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51036 and 51056, than apply into the LCM equation.

GCF(51036,51056) = 4
LCM(51036,51056) = ( 51036 × 51056) / 4
LCM(51036,51056) = 2605694016 / 4
LCM(51036,51056) = 651423504

Least Common Multiple (LCM) of 51036 and 51056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51036 and 51056. First we will calculate the prime factors of 51036 and 51056.

Prime Factorization of 51036

Prime Factorization of 51056

Now multiplying the highest exponent prime factors to calculate the LCM of 51036 and 51056.

LCM(51036,51056) = 2⁴ × 3¹ × 4253¹ × 3191¹
LCM(51036,51056) = 651423504