What is the Least Common Multiple of 96976 and 96994?

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 96976 and 96994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96976 and 96994, than apply into the LCM equation.

GCF(96976,96994) = 2
LCM(96976,96994) = ( 96976 × 96994) / 2
LCM(96976,96994) = 9406090144 / 2
LCM(96976,96994) = 4703045072

Least Common Multiple (LCM) of 96976 and 96994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96976 and 96994. First we will calculate the prime factors of 96976 and 96994.

Prime Factorization of 96976

Prime Factorization of 96994

Now multiplying the highest exponent prime factors to calculate the LCM of 96976 and 96994.

LCM(96976,96994) = 2⁴ × 11¹ × 19¹ × 29¹ × 48497¹
LCM(96976,96994) = 4703045072