What is the Least Common Multiple of 24633 and 24640?

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 24633 and 24640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24633 and 24640, than apply into the LCM equation.

GCF(24633,24640) = 7
LCM(24633,24640) = ( 24633 × 24640) / 7
LCM(24633,24640) = 606957120 / 7
LCM(24633,24640) = 86708160

Least Common Multiple (LCM) of 24633 and 24640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24633 and 24640. First we will calculate the prime factors of 24633 and 24640.

Prime Factorization of 24633

Prime Factorization of 24640

Now multiplying the highest exponent prime factors to calculate the LCM of 24633 and 24640.

LCM(24633,24640) = 3² × 7¹ × 17¹ × 23¹ × 2⁶ × 5¹ × 11¹
LCM(24633,24640) = 86708160