What is the Least Common Multiple of 24888 and 24905?

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 24888 and 24905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24888 and 24905, than apply into the LCM equation.

GCF(24888,24905) = 17
LCM(24888,24905) = ( 24888 × 24905) / 17
LCM(24888,24905) = 619835640 / 17
LCM(24888,24905) = 36460920

Least Common Multiple (LCM) of 24888 and 24905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24888 and 24905. First we will calculate the prime factors of 24888 and 24905.

Prime Factorization of 24888

Prime Factorization of 24905

Now multiplying the highest exponent prime factors to calculate the LCM of 24888 and 24905.

LCM(24888,24905) = 2³ × 3¹ × 17¹ × 61¹ × 5¹ × 293¹
LCM(24888,24905) = 36460920