What is the Least Common Multiple of 24200 and 24215?

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 24200 and 24215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24200 and 24215, than apply into the LCM equation.

GCF(24200,24215) = 5
LCM(24200,24215) = ( 24200 × 24215) / 5
LCM(24200,24215) = 586003000 / 5
LCM(24200,24215) = 117200600

Least Common Multiple (LCM) of 24200 and 24215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24200 and 24215. First we will calculate the prime factors of 24200 and 24215.

Prime Factorization of 24200

Prime Factorization of 24215

Now multiplying the highest exponent prime factors to calculate the LCM of 24200 and 24215.

LCM(24200,24215) = 2³ × 5² × 11² × 29¹ × 167¹
LCM(24200,24215) = 117200600