What is the Least Common Multiple of 24816 and 24831?

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 24816 and 24831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24816 and 24831, than apply into the LCM equation.

GCF(24816,24831) = 3
LCM(24816,24831) = ( 24816 × 24831) / 3
LCM(24816,24831) = 616206096 / 3
LCM(24816,24831) = 205402032

Least Common Multiple (LCM) of 24816 and 24831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24816 and 24831. First we will calculate the prime factors of 24816 and 24831.

Prime Factorization of 24816

Prime Factorization of 24831

Now multiplying the highest exponent prime factors to calculate the LCM of 24816 and 24831.

LCM(24816,24831) = 2⁴ × 3² × 11¹ × 47¹ × 31¹ × 89¹
LCM(24816,24831) = 205402032