What is the Least Common Multiple of 24542 and 24561?

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 24542 and 24561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24542 and 24561, than apply into the LCM equation.

GCF(24542,24561) = 1
LCM(24542,24561) = ( 24542 × 24561) / 1
LCM(24542,24561) = 602776062 / 1
LCM(24542,24561) = 602776062

Least Common Multiple (LCM) of 24542 and 24561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24542 and 24561. First we will calculate the prime factors of 24542 and 24561.

Prime Factorization of 24542

Prime Factorization of 24561

Now multiplying the highest exponent prime factors to calculate the LCM of 24542 and 24561.

LCM(24542,24561) = 2¹ × 7¹ × 1753¹ × 3² × 2729¹
LCM(24542,24561) = 602776062