What is the Least Common Multiple of 96519 and 96538?

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 96519 and 96538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96519 and 96538, than apply into the LCM equation.

GCF(96519,96538) = 1
LCM(96519,96538) = ( 96519 × 96538) / 1
LCM(96519,96538) = 9317751222 / 1
LCM(96519,96538) = 9317751222

Least Common Multiple (LCM) of 96519 and 96538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96519 and 96538. First we will calculate the prime factors of 96519 and 96538.

Prime Factorization of 96519

Prime Factorization of 96538

Now multiplying the highest exponent prime factors to calculate the LCM of 96519 and 96538.

LCM(96519,96538) = 3¹ × 32173¹ × 2¹ × 13¹ × 47¹ × 79¹
LCM(96519,96538) = 9317751222