What is the Least Common Multiple of 96756 and 96770?

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 96756 and 96770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96756 and 96770, than apply into the LCM equation.

GCF(96756,96770) = 2
LCM(96756,96770) = ( 96756 × 96770) / 2
LCM(96756,96770) = 9363078120 / 2
LCM(96756,96770) = 4681539060

Least Common Multiple (LCM) of 96756 and 96770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96756 and 96770. First we will calculate the prime factors of 96756 and 96770.

Prime Factorization of 96756

Prime Factorization of 96770

Now multiplying the highest exponent prime factors to calculate the LCM of 96756 and 96770.

LCM(96756,96770) = 2² × 3¹ × 11¹ × 733¹ × 5¹ × 9677¹
LCM(96756,96770) = 4681539060