What is the Least Common Multiple of 24674 and 24690?

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 24674 and 24690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24674 and 24690, than apply into the LCM equation.

GCF(24674,24690) = 2
LCM(24674,24690) = ( 24674 × 24690) / 2
LCM(24674,24690) = 609201060 / 2
LCM(24674,24690) = 304600530

Least Common Multiple (LCM) of 24674 and 24690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24674 and 24690. First we will calculate the prime factors of 24674 and 24690.

Prime Factorization of 24674

Prime Factorization of 24690

Now multiplying the highest exponent prime factors to calculate the LCM of 24674 and 24690.

LCM(24674,24690) = 2¹ × 13² × 73¹ × 3¹ × 5¹ × 823¹
LCM(24674,24690) = 304600530