What is the Least Common Multiple of 24435 and 24444?

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 24435 and 24444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24435 and 24444, than apply into the LCM equation.

GCF(24435,24444) = 9
LCM(24435,24444) = ( 24435 × 24444) / 9
LCM(24435,24444) = 597289140 / 9
LCM(24435,24444) = 66365460

Least Common Multiple (LCM) of 24435 and 24444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24435 and 24444. First we will calculate the prime factors of 24435 and 24444.

Prime Factorization of 24435

Prime Factorization of 24444

Now multiplying the highest exponent prime factors to calculate the LCM of 24435 and 24444.

LCM(24435,24444) = 3³ × 5¹ × 181¹ × 2² × 7¹ × 97¹
LCM(24435,24444) = 66365460