What is the Least Common Multiple of 96958 and 96964?

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 96958 and 96964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96958 and 96964, than apply into the LCM equation.

GCF(96958,96964) = 2
LCM(96958,96964) = ( 96958 × 96964) / 2
LCM(96958,96964) = 9401435512 / 2
LCM(96958,96964) = 4700717756

Least Common Multiple (LCM) of 96958 and 96964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96958 and 96964. First we will calculate the prime factors of 96958 and 96964.

Prime Factorization of 96958

Prime Factorization of 96964

Now multiplying the highest exponent prime factors to calculate the LCM of 96958 and 96964.

LCM(96958,96964) = 2² × 48479¹ × 7¹ × 3463¹
LCM(96958,96964) = 4700717756