What is the Least Common Multiple of 24560 and 24574?

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 24560 and 24574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24560 and 24574, than apply into the LCM equation.

GCF(24560,24574) = 2
LCM(24560,24574) = ( 24560 × 24574) / 2
LCM(24560,24574) = 603537440 / 2
LCM(24560,24574) = 301768720

Least Common Multiple (LCM) of 24560 and 24574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24560 and 24574. First we will calculate the prime factors of 24560 and 24574.

Prime Factorization of 24560

Prime Factorization of 24574

Now multiplying the highest exponent prime factors to calculate the LCM of 24560 and 24574.

LCM(24560,24574) = 2⁴ × 5¹ × 307¹ × 11¹ × 1117¹
LCM(24560,24574) = 301768720