What is the Least Common Multiple of 24075 and 24090?

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 24075 and 24090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24075 and 24090, than apply into the LCM equation.

GCF(24075,24090) = 15
LCM(24075,24090) = ( 24075 × 24090) / 15
LCM(24075,24090) = 579966750 / 15
LCM(24075,24090) = 38664450

Least Common Multiple (LCM) of 24075 and 24090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24075 and 24090. First we will calculate the prime factors of 24075 and 24090.

Prime Factorization of 24075

Prime Factorization of 24090

Now multiplying the highest exponent prime factors to calculate the LCM of 24075 and 24090.

LCM(24075,24090) = 3² × 5² × 107¹ × 2¹ × 11¹ × 73¹
LCM(24075,24090) = 38664450