What is the Least Common Multiple of 24942 and 24959?

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 24942 and 24959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24942 and 24959, than apply into the LCM equation.

GCF(24942,24959) = 1
LCM(24942,24959) = ( 24942 × 24959) / 1
LCM(24942,24959) = 622527378 / 1
LCM(24942,24959) = 622527378

Least Common Multiple (LCM) of 24942 and 24959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24942 and 24959. First we will calculate the prime factors of 24942 and 24959.

Prime Factorization of 24942

Prime Factorization of 24959

Now multiplying the highest exponent prime factors to calculate the LCM of 24942 and 24959.

LCM(24942,24959) = 2¹ × 3¹ × 4157¹ × 11¹ × 2269¹
LCM(24942,24959) = 622527378