What is the Least Common Multiple of 24100 and 24117?

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 24100 and 24117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24100 and 24117, than apply into the LCM equation.

GCF(24100,24117) = 1
LCM(24100,24117) = ( 24100 × 24117) / 1
LCM(24100,24117) = 581219700 / 1
LCM(24100,24117) = 581219700

Least Common Multiple (LCM) of 24100 and 24117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24100 and 24117. First we will calculate the prime factors of 24100 and 24117.

Prime Factorization of 24100

Prime Factorization of 24117

Now multiplying the highest exponent prime factors to calculate the LCM of 24100 and 24117.

LCM(24100,24117) = 2² × 5² × 241¹ × 3¹ × 8039¹
LCM(24100,24117) = 581219700