What is the Least Common Multiple of 15008 and 15022?

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 15008 and 15022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15008 and 15022, than apply into the LCM equation.

GCF(15008,15022) = 14
LCM(15008,15022) = ( 15008 × 15022) / 14
LCM(15008,15022) = 225450176 / 14
LCM(15008,15022) = 16103584

Least Common Multiple (LCM) of 15008 and 15022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15008 and 15022. First we will calculate the prime factors of 15008 and 15022.

Prime Factorization of 15008

Prime Factorization of 15022

Now multiplying the highest exponent prime factors to calculate the LCM of 15008 and 15022.

LCM(15008,15022) = 2⁵ × 7¹ × 67¹ × 29¹ × 37¹
LCM(15008,15022) = 16103584