What is the Least Common Multiple of 96640 and 96658?

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 96640 and 96658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96640 and 96658, than apply into the LCM equation.

GCF(96640,96658) = 2
LCM(96640,96658) = ( 96640 × 96658) / 2
LCM(96640,96658) = 9341029120 / 2
LCM(96640,96658) = 4670514560

Least Common Multiple (LCM) of 96640 and 96658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96640 and 96658. First we will calculate the prime factors of 96640 and 96658.

Prime Factorization of 96640

Prime Factorization of 96658

Now multiplying the highest exponent prime factors to calculate the LCM of 96640 and 96658.

LCM(96640,96658) = 2⁷ × 5¹ × 151¹ × 31¹ × 1559¹
LCM(96640,96658) = 4670514560