What is the Least Common Multiple of 24835 and 24840?

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 24835 and 24840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24835 and 24840, than apply into the LCM equation.

GCF(24835,24840) = 5
LCM(24835,24840) = ( 24835 × 24840) / 5
LCM(24835,24840) = 616901400 / 5
LCM(24835,24840) = 123380280

Least Common Multiple (LCM) of 24835 and 24840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24835 and 24840. First we will calculate the prime factors of 24835 and 24840.

Prime Factorization of 24835

Prime Factorization of 24840

Now multiplying the highest exponent prime factors to calculate the LCM of 24835 and 24840.

LCM(24835,24840) = 5¹ × 4967¹ × 2³ × 3³ × 23¹
LCM(24835,24840) = 123380280