What is the Least Common Multiple of 96966 and 96986?

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 96966 and 96986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96966 and 96986, than apply into the LCM equation.

GCF(96966,96986) = 2
LCM(96966,96986) = ( 96966 × 96986) / 2
LCM(96966,96986) = 9404344476 / 2
LCM(96966,96986) = 4702172238

Least Common Multiple (LCM) of 96966 and 96986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96966 and 96986. First we will calculate the prime factors of 96966 and 96986.

Prime Factorization of 96966

Prime Factorization of 96986

Now multiplying the highest exponent prime factors to calculate the LCM of 96966 and 96986.

LCM(96966,96986) = 2¹ × 3² × 5387¹ × 71¹ × 683¹
LCM(96966,96986) = 4702172238