What is the Least Common Multiple of 24876 and 24885?

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 24876 and 24885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24876 and 24885, than apply into the LCM equation.

GCF(24876,24885) = 9
LCM(24876,24885) = ( 24876 × 24885) / 9
LCM(24876,24885) = 619039260 / 9
LCM(24876,24885) = 68782140

Least Common Multiple (LCM) of 24876 and 24885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24876 and 24885. First we will calculate the prime factors of 24876 and 24885.

Prime Factorization of 24876

Prime Factorization of 24885

Now multiplying the highest exponent prime factors to calculate the LCM of 24876 and 24885.

LCM(24876,24885) = 2² × 3² × 691¹ × 5¹ × 7¹ × 79¹
LCM(24876,24885) = 68782140