What is the Least Common Multiple of 98712 and 98720?

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 98712 and 98720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98712 and 98720, than apply into the LCM equation.

GCF(98712,98720) = 8
LCM(98712,98720) = ( 98712 × 98720) / 8
LCM(98712,98720) = 9744848640 / 8
LCM(98712,98720) = 1218106080

Least Common Multiple (LCM) of 98712 and 98720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98712 and 98720. First we will calculate the prime factors of 98712 and 98720.

Prime Factorization of 98712

Prime Factorization of 98720

Now multiplying the highest exponent prime factors to calculate the LCM of 98712 and 98720.

LCM(98712,98720) = 2⁵ × 3³ × 457¹ × 5¹ × 617¹
LCM(98712,98720) = 1218106080