What is the Least Common Multiple of 24009 and 24015?

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 24009 and 24015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24009 and 24015, than apply into the LCM equation.

GCF(24009,24015) = 3
LCM(24009,24015) = ( 24009 × 24015) / 3
LCM(24009,24015) = 576576135 / 3
LCM(24009,24015) = 192192045

Least Common Multiple (LCM) of 24009 and 24015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24009 and 24015. First we will calculate the prime factors of 24009 and 24015.

Prime Factorization of 24009

Prime Factorization of 24015

Now multiplying the highest exponent prime factors to calculate the LCM of 24009 and 24015.

LCM(24009,24015) = 3¹ × 53¹ × 151¹ × 5¹ × 1601¹
LCM(24009,24015) = 192192045