What is the Least Common Multiple of 24204 and 24210?

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 24204 and 24210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24204 and 24210, than apply into the LCM equation.

GCF(24204,24210) = 6
LCM(24204,24210) = ( 24204 × 24210) / 6
LCM(24204,24210) = 585978840 / 6
LCM(24204,24210) = 97663140

Least Common Multiple (LCM) of 24204 and 24210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24204 and 24210. First we will calculate the prime factors of 24204 and 24210.

Prime Factorization of 24204

Prime Factorization of 24210

Now multiplying the highest exponent prime factors to calculate the LCM of 24204 and 24210.

LCM(24204,24210) = 2² × 3² × 2017¹ × 5¹ × 269¹
LCM(24204,24210) = 97663140