What is the Least Common Multiple of 24574 and 24588?

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 24574 and 24588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24574 and 24588, than apply into the LCM equation.

GCF(24574,24588) = 2
LCM(24574,24588) = ( 24574 × 24588) / 2
LCM(24574,24588) = 604225512 / 2
LCM(24574,24588) = 302112756

Least Common Multiple (LCM) of 24574 and 24588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24574 and 24588. First we will calculate the prime factors of 24574 and 24588.

Prime Factorization of 24574

Prime Factorization of 24588

Now multiplying the highest exponent prime factors to calculate the LCM of 24574 and 24588.

LCM(24574,24588) = 2² × 11¹ × 1117¹ × 3² × 683¹
LCM(24574,24588) = 302112756