What is the Least Common Multiple of 51756 and 51774?

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 51756 and 51774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51756 and 51774, than apply into the LCM equation.

GCF(51756,51774) = 6
LCM(51756,51774) = ( 51756 × 51774) / 6
LCM(51756,51774) = 2679615144 / 6
LCM(51756,51774) = 446602524

Least Common Multiple (LCM) of 51756 and 51774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51756 and 51774. First we will calculate the prime factors of 51756 and 51774.

Prime Factorization of 51756

Prime Factorization of 51774

Now multiplying the highest exponent prime factors to calculate the LCM of 51756 and 51774.

LCM(51756,51774) = 2² × 3¹ × 19¹ × 227¹ × 8629¹
LCM(51756,51774) = 446602524