What is the Least Common Multiple of 24720 and 24729?

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 24720 and 24729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24720 and 24729, than apply into the LCM equation.

GCF(24720,24729) = 3
LCM(24720,24729) = ( 24720 × 24729) / 3
LCM(24720,24729) = 611300880 / 3
LCM(24720,24729) = 203766960

Least Common Multiple (LCM) of 24720 and 24729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24720 and 24729. First we will calculate the prime factors of 24720 and 24729.

Prime Factorization of 24720

Prime Factorization of 24729

Now multiplying the highest exponent prime factors to calculate the LCM of 24720 and 24729.

LCM(24720,24729) = 2⁴ × 3¹ × 5¹ × 103¹ × 8243¹
LCM(24720,24729) = 203766960