What is the Least Common Multiple of 24205 and 24220?

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 24205 and 24220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24205 and 24220, than apply into the LCM equation.

GCF(24205,24220) = 5
LCM(24205,24220) = ( 24205 × 24220) / 5
LCM(24205,24220) = 586245100 / 5
LCM(24205,24220) = 117249020

Least Common Multiple (LCM) of 24205 and 24220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24205 and 24220. First we will calculate the prime factors of 24205 and 24220.

Prime Factorization of 24205

Prime Factorization of 24220

Now multiplying the highest exponent prime factors to calculate the LCM of 24205 and 24220.

LCM(24205,24220) = 5¹ × 47¹ × 103¹ × 2² × 7¹ × 173¹
LCM(24205,24220) = 117249020