What is the Least Common Multiple of 24885 and 24899?

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 24885 and 24899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24885 and 24899, than apply into the LCM equation.

GCF(24885,24899) = 7
LCM(24885,24899) = ( 24885 × 24899) / 7
LCM(24885,24899) = 619611615 / 7
LCM(24885,24899) = 88515945

Least Common Multiple (LCM) of 24885 and 24899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24885 and 24899. First we will calculate the prime factors of 24885 and 24899.

Prime Factorization of 24885

Prime Factorization of 24899

Now multiplying the highest exponent prime factors to calculate the LCM of 24885 and 24899.

LCM(24885,24899) = 3² × 5¹ × 7¹ × 79¹ × 3557¹
LCM(24885,24899) = 88515945