What is the Least Common Multiple of 14984 and 15002?

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 14984 and 15002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14984 and 15002, than apply into the LCM equation.

GCF(14984,15002) = 2
LCM(14984,15002) = ( 14984 × 15002) / 2
LCM(14984,15002) = 224789968 / 2
LCM(14984,15002) = 112394984

Least Common Multiple (LCM) of 14984 and 15002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14984 and 15002. First we will calculate the prime factors of 14984 and 15002.

Prime Factorization of 14984

Prime Factorization of 15002

Now multiplying the highest exponent prime factors to calculate the LCM of 14984 and 15002.

LCM(14984,15002) = 2³ × 1873¹ × 13¹ × 577¹
LCM(14984,15002) = 112394984