What is the Least Common Multiple of 96964 and 96976?

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 96964 and 96976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96964 and 96976, than apply into the LCM equation.

GCF(96964,96976) = 4
LCM(96964,96976) = ( 96964 × 96976) / 4
LCM(96964,96976) = 9403180864 / 4
LCM(96964,96976) = 2350795216

Least Common Multiple (LCM) of 96964 and 96976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96964 and 96976. First we will calculate the prime factors of 96964 and 96976.

Prime Factorization of 96964

Prime Factorization of 96976

Now multiplying the highest exponent prime factors to calculate the LCM of 96964 and 96976.

LCM(96964,96976) = 2⁴ × 7¹ × 3463¹ × 11¹ × 19¹ × 29¹
LCM(96964,96976) = 2350795216