What is the Least Common Multiple of 24612 and 24624?

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 24612 and 24624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24612 and 24624, than apply into the LCM equation.

GCF(24612,24624) = 12
LCM(24612,24624) = ( 24612 × 24624) / 12
LCM(24612,24624) = 606045888 / 12
LCM(24612,24624) = 50503824

Least Common Multiple (LCM) of 24612 and 24624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24612 and 24624. First we will calculate the prime factors of 24612 and 24624.

Prime Factorization of 24612

Prime Factorization of 24624

Now multiplying the highest exponent prime factors to calculate the LCM of 24612 and 24624.

LCM(24612,24624) = 2⁴ × 3⁴ × 7¹ × 293¹ × 19¹
LCM(24612,24624) = 50503824