What is the Least Common Multiple of 96514 and 96521?

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 96514 and 96521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96514 and 96521, than apply into the LCM equation.

GCF(96514,96521) = 1
LCM(96514,96521) = ( 96514 × 96521) / 1
LCM(96514,96521) = 9315627794 / 1
LCM(96514,96521) = 9315627794

Least Common Multiple (LCM) of 96514 and 96521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96514 and 96521. First we will calculate the prime factors of 96514 and 96521.

Prime Factorization of 96514

Prime Factorization of 96521

Now multiplying the highest exponent prime factors to calculate the LCM of 96514 and 96521.

LCM(96514,96521) = 2¹ × 11¹ × 41¹ × 107¹ × 263¹ × 367¹
LCM(96514,96521) = 9315627794