What is the Least Common Multiple of 24756 and 24771?

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 24756 and 24771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24756 and 24771, than apply into the LCM equation.

GCF(24756,24771) = 3
LCM(24756,24771) = ( 24756 × 24771) / 3
LCM(24756,24771) = 613230876 / 3
LCM(24756,24771) = 204410292

Least Common Multiple (LCM) of 24756 and 24771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24756 and 24771. First we will calculate the prime factors of 24756 and 24771.

Prime Factorization of 24756

Prime Factorization of 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 24756 and 24771.

LCM(24756,24771) = 2² × 3¹ × 2063¹ × 23¹ × 359¹
LCM(24756,24771) = 204410292