What is the Least Common Multiple of 24014 and 24018?

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 24014 and 24018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24014 and 24018, than apply into the LCM equation.

GCF(24014,24018) = 2
LCM(24014,24018) = ( 24014 × 24018) / 2
LCM(24014,24018) = 576768252 / 2
LCM(24014,24018) = 288384126

Least Common Multiple (LCM) of 24014 and 24018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24014 and 24018. First we will calculate the prime factors of 24014 and 24018.

Prime Factorization of 24014

Prime Factorization of 24018

Now multiplying the highest exponent prime factors to calculate the LCM of 24014 and 24018.

LCM(24014,24018) = 2¹ × 12007¹ × 3¹ × 4003¹
LCM(24014,24018) = 288384126