What is the Least Common Multiple of 85756 and 85774?

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 85756 and 85774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85756 and 85774, than apply into the LCM equation.

GCF(85756,85774) = 2
LCM(85756,85774) = ( 85756 × 85774) / 2
LCM(85756,85774) = 7355635144 / 2
LCM(85756,85774) = 3677817572

Least Common Multiple (LCM) of 85756 and 85774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85756 and 85774. First we will calculate the prime factors of 85756 and 85774.

Prime Factorization of 85756

Prime Factorization of 85774

Now multiplying the highest exponent prime factors to calculate the LCM of 85756 and 85774.

LCM(85756,85774) = 2² × 11¹ × 1949¹ × 13¹ × 3299¹
LCM(85756,85774) = 3677817572