What is the Least Common Multiple of 24708 and 24723?

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 24708 and 24723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24708 and 24723, than apply into the LCM equation.

GCF(24708,24723) = 3
LCM(24708,24723) = ( 24708 × 24723) / 3
LCM(24708,24723) = 610855884 / 3
LCM(24708,24723) = 203618628

Least Common Multiple (LCM) of 24708 and 24723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24708 and 24723. First we will calculate the prime factors of 24708 and 24723.

Prime Factorization of 24708

Prime Factorization of 24723

Now multiplying the highest exponent prime factors to calculate the LCM of 24708 and 24723.

LCM(24708,24723) = 2² × 3² × 29¹ × 71¹ × 41¹ × 67¹
LCM(24708,24723) = 203618628