What is the Least Common Multiple of 24552 and 24563?

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 24552 and 24563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24552 and 24563, than apply into the LCM equation.

GCF(24552,24563) = 11
LCM(24552,24563) = ( 24552 × 24563) / 11
LCM(24552,24563) = 603070776 / 11
LCM(24552,24563) = 54824616

Least Common Multiple (LCM) of 24552 and 24563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24552 and 24563. First we will calculate the prime factors of 24552 and 24563.

Prime Factorization of 24552

Prime Factorization of 24563

Now multiplying the highest exponent prime factors to calculate the LCM of 24552 and 24563.

LCM(24552,24563) = 2³ × 3² × 11² × 31¹ × 7¹ × 29¹
LCM(24552,24563) = 54824616