What is the Least Common Multiple of 14996 and 15008?

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 14996 and 15008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14996 and 15008, than apply into the LCM equation.

GCF(14996,15008) = 4
LCM(14996,15008) = ( 14996 × 15008) / 4
LCM(14996,15008) = 225059968 / 4
LCM(14996,15008) = 56264992

Least Common Multiple (LCM) of 14996 and 15008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14996 and 15008. First we will calculate the prime factors of 14996 and 15008.

Prime Factorization of 14996

Prime Factorization of 15008

Now multiplying the highest exponent prime factors to calculate the LCM of 14996 and 15008.

LCM(14996,15008) = 2⁵ × 23¹ × 163¹ × 7¹ × 67¹
LCM(14996,15008) = 56264992