What is the Least Common Multiple of 74984 and 75002?

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 75002 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 75002, than apply into the LCM equation.

GCF(74984,75002) = 2
LCM(74984,75002) = ( 74984 × 75002) / 2
LCM(74984,75002) = 5623949968 / 2
LCM(74984,75002) = 2811974984

Least Common Multiple (LCM) of 74984 and 75002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74984 and 75002. First we will calculate the prime factors of 74984 and 75002.

Prime Factorization of 74984

Prime Factorization of 75002

Now multiplying the highest exponent prime factors to calculate the LCM of 74984 and 75002.

LCM(74984,75002) = 2³ × 7¹ × 13¹ × 103¹ × 37501¹
LCM(74984,75002) = 2811974984