What is the Least Common Multiple of 24474 and 24490?

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 24474 and 24490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24474 and 24490, than apply into the LCM equation.

GCF(24474,24490) = 2
LCM(24474,24490) = ( 24474 × 24490) / 2
LCM(24474,24490) = 599368260 / 2
LCM(24474,24490) = 299684130

Least Common Multiple (LCM) of 24474 and 24490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24474 and 24490. First we will calculate the prime factors of 24474 and 24490.

Prime Factorization of 24474

Prime Factorization of 24490

Now multiplying the highest exponent prime factors to calculate the LCM of 24474 and 24490.

LCM(24474,24490) = 2¹ × 3¹ × 4079¹ × 5¹ × 31¹ × 79¹
LCM(24474,24490) = 299684130