What is the Least Common Multiple of 24624 and 24643?

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 24643 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 24643, than apply into the LCM equation.

GCF(24624,24643) = 19
LCM(24624,24643) = ( 24624 × 24643) / 19
LCM(24624,24643) = 606809232 / 19
LCM(24624,24643) = 31937328

Least Common Multiple (LCM) of 24624 and 24643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24624 and 24643. First we will calculate the prime factors of 24624 and 24643.

Prime Factorization of 24624

Prime Factorization of 24643

Now multiplying the highest exponent prime factors to calculate the LCM of 24624 and 24643.

LCM(24624,24643) = 2⁴ × 3⁴ × 19¹ × 1297¹
LCM(24624,24643) = 31937328