What is the Least Common Multiple of 96508 and 96518?

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 96508 and 96518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96508 and 96518, than apply into the LCM equation.

GCF(96508,96518) = 2
LCM(96508,96518) = ( 96508 × 96518) / 2
LCM(96508,96518) = 9314759144 / 2
LCM(96508,96518) = 4657379572

Least Common Multiple (LCM) of 96508 and 96518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96508 and 96518. First we will calculate the prime factors of 96508 and 96518.

Prime Factorization of 96508

Prime Factorization of 96518

Now multiplying the highest exponent prime factors to calculate the LCM of 96508 and 96518.

LCM(96508,96518) = 2² × 23¹ × 1049¹ × 48259¹
LCM(96508,96518) = 4657379572