What is the Least Common Multiple of 96364 and 96370?

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 96364 and 96370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96364 and 96370, than apply into the LCM equation.

GCF(96364,96370) = 2
LCM(96364,96370) = ( 96364 × 96370) / 2
LCM(96364,96370) = 9286598680 / 2
LCM(96364,96370) = 4643299340

Least Common Multiple (LCM) of 96364 and 96370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96364 and 96370. First we will calculate the prime factors of 96364 and 96370.

Prime Factorization of 96364

Prime Factorization of 96370

Now multiplying the highest exponent prime factors to calculate the LCM of 96364 and 96370.

LCM(96364,96370) = 2² × 24091¹ × 5¹ × 23¹ × 419¹
LCM(96364,96370) = 4643299340