What is the Least Common Multiple of 96407 and 96419?

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 96407 and 96419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96407 and 96419, than apply into the LCM equation.

GCF(96407,96419) = 1
LCM(96407,96419) = ( 96407 × 96419) / 1
LCM(96407,96419) = 9295466533 / 1
LCM(96407,96419) = 9295466533

Least Common Multiple (LCM) of 96407 and 96419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96407 and 96419. First we will calculate the prime factors of 96407 and 96419.

Prime Factorization of 96407

Prime Factorization of 96419

Now multiplying the highest exponent prime factors to calculate the LCM of 96407 and 96419.

LCM(96407,96419) = 17¹ × 53¹ × 107¹ × 96419¹
LCM(96407,96419) = 9295466533