What is the Least Common Multiple of 24200 and 24216?

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 24216 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 24216, than apply into the LCM equation.

GCF(24200,24216) = 8
LCM(24200,24216) = ( 24200 × 24216) / 8
LCM(24200,24216) = 586027200 / 8
LCM(24200,24216) = 73253400

Least Common Multiple (LCM) of 24200 and 24216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24200 and 24216. First we will calculate the prime factors of 24200 and 24216.

Prime Factorization of 24200

Prime Factorization of 24216

Now multiplying the highest exponent prime factors to calculate the LCM of 24200 and 24216.

LCM(24200,24216) = 2³ × 5² × 11² × 3¹ × 1009¹
LCM(24200,24216) = 73253400