What is the Least Common Multiple of 24314 and 24330?

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 24314 and 24330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24314 and 24330, than apply into the LCM equation.

GCF(24314,24330) = 2
LCM(24314,24330) = ( 24314 × 24330) / 2
LCM(24314,24330) = 591559620 / 2
LCM(24314,24330) = 295779810

Least Common Multiple (LCM) of 24314 and 24330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24314 and 24330. First we will calculate the prime factors of 24314 and 24330.

Prime Factorization of 24314

Prime Factorization of 24330

Now multiplying the highest exponent prime factors to calculate the LCM of 24314 and 24330.

LCM(24314,24330) = 2¹ × 12157¹ × 3¹ × 5¹ × 811¹
LCM(24314,24330) = 295779810