What is the Least Common Multiple of 24573 and 24577?

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 24573 and 24577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24573 and 24577, than apply into the LCM equation.

GCF(24573,24577) = 1
LCM(24573,24577) = ( 24573 × 24577) / 1
LCM(24573,24577) = 603930621 / 1
LCM(24573,24577) = 603930621

Least Common Multiple (LCM) of 24573 and 24577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24573 and 24577. First we will calculate the prime factors of 24573 and 24577.

Prime Factorization of 24573

Prime Factorization of 24577

Now multiplying the highest exponent prime factors to calculate the LCM of 24573 and 24577.

LCM(24573,24577) = 3¹ × 8191¹ × 7¹ × 3511¹
LCM(24573,24577) = 603930621