What is the Least Common Multiple of 74984 and 75001?

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 74984 and 75001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74984 and 75001, than apply into the LCM equation.

GCF(74984,75001) = 1
LCM(74984,75001) = ( 74984 × 75001) / 1
LCM(74984,75001) = 5623874984 / 1
LCM(74984,75001) = 5623874984

Least Common Multiple (LCM) of 74984 and 75001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74984 and 75001. First we will calculate the prime factors of 74984 and 75001.

Prime Factorization of 74984

Prime Factorization of 75001

Now multiplying the highest exponent prime factors to calculate the LCM of 74984 and 75001.

LCM(74984,75001) = 2³ × 7¹ × 13¹ × 103¹ × 179¹ × 419¹
LCM(74984,75001) = 5623874984