What is the Least Common Multiple of 96360 and 96368?

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 96360 and 96368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96360 and 96368, than apply into the LCM equation.

GCF(96360,96368) = 8
LCM(96360,96368) = ( 96360 × 96368) / 8
LCM(96360,96368) = 9286020480 / 8
LCM(96360,96368) = 1160752560

Least Common Multiple (LCM) of 96360 and 96368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96360 and 96368. First we will calculate the prime factors of 96360 and 96368.

Prime Factorization of 96360

Prime Factorization of 96368

Now multiplying the highest exponent prime factors to calculate the LCM of 96360 and 96368.

LCM(96360,96368) = 2⁴ × 3¹ × 5¹ × 11¹ × 73¹ × 19¹ × 317¹
LCM(96360,96368) = 1160752560