What is the Least Common Multiple of 756 and 774?

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 756 and 774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 756 and 774, than apply into the LCM equation.

GCF(756,774) = 18
LCM(756,774) = ( 756 × 774) / 18
LCM(756,774) = 585144 / 18
LCM(756,774) = 32508

Least Common Multiple (LCM) of 756 and 774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 756 and 774. First we will calculate the prime factors of 756 and 774.

Prime Factorization of 756

Prime Factorization of 774

Now multiplying the highest exponent prime factors to calculate the LCM of 756 and 774.

LCM(756,774) = 2² × 3³ × 7¹ × 43¹
LCM(756,774) = 32508