What is the Least Common Multiple of 96512 and 96519?

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 96512 and 96519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96512 and 96519, than apply into the LCM equation.

GCF(96512,96519) = 1
LCM(96512,96519) = ( 96512 × 96519) / 1
LCM(96512,96519) = 9315241728 / 1
LCM(96512,96519) = 9315241728

Least Common Multiple (LCM) of 96512 and 96519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96512 and 96519. First we will calculate the prime factors of 96512 and 96519.

Prime Factorization of 96512

Prime Factorization of 96519

Now multiplying the highest exponent prime factors to calculate the LCM of 96512 and 96519.

LCM(96512,96519) = 2⁸ × 13¹ × 29¹ × 3¹ × 32173¹
LCM(96512,96519) = 9315241728