What is the Least Common Multiple of 24470 and 24485?

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 24470 and 24485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24470 and 24485, than apply into the LCM equation.

GCF(24470,24485) = 5
LCM(24470,24485) = ( 24470 × 24485) / 5
LCM(24470,24485) = 599147950 / 5
LCM(24470,24485) = 119829590

Least Common Multiple (LCM) of 24470 and 24485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24470 and 24485. First we will calculate the prime factors of 24470 and 24485.

Prime Factorization of 24470

Prime Factorization of 24485

Now multiplying the highest exponent prime factors to calculate the LCM of 24470 and 24485.

LCM(24470,24485) = 2¹ × 5¹ × 2447¹ × 59¹ × 83¹
LCM(24470,24485) = 119829590