What is the Least Common Multiple of 24624 and 24628?

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 24624 and 24628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24624 and 24628, than apply into the LCM equation.

GCF(24624,24628) = 4
LCM(24624,24628) = ( 24624 × 24628) / 4
LCM(24624,24628) = 606439872 / 4
LCM(24624,24628) = 151609968

Least Common Multiple (LCM) of 24624 and 24628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24624 and 24628. First we will calculate the prime factors of 24624 and 24628.

Prime Factorization of 24624

Prime Factorization of 24628

Now multiplying the highest exponent prime factors to calculate the LCM of 24624 and 24628.

LCM(24624,24628) = 2⁴ × 3⁴ × 19¹ × 47¹ × 131¹
LCM(24624,24628) = 151609968