What is the Least Common Multiple of 24015 and 24021?

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 24015 and 24021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24015 and 24021, than apply into the LCM equation.

GCF(24015,24021) = 3
LCM(24015,24021) = ( 24015 × 24021) / 3
LCM(24015,24021) = 576864315 / 3
LCM(24015,24021) = 192288105

Least Common Multiple (LCM) of 24015 and 24021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24015 and 24021. First we will calculate the prime factors of 24015 and 24021.

Prime Factorization of 24015

Prime Factorization of 24021

Now multiplying the highest exponent prime factors to calculate the LCM of 24015 and 24021.

LCM(24015,24021) = 3² × 5¹ × 1601¹ × 17¹ × 157¹
LCM(24015,24021) = 192288105