What is the Least Common Multiple of 18565 and 18574?

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 18565 and 18574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18565 and 18574, than apply into the LCM equation.

GCF(18565,18574) = 1
LCM(18565,18574) = ( 18565 × 18574) / 1
LCM(18565,18574) = 344826310 / 1
LCM(18565,18574) = 344826310

Least Common Multiple (LCM) of 18565 and 18574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18565 and 18574. First we will calculate the prime factors of 18565 and 18574.

Prime Factorization of 18565

Prime Factorization of 18574

Now multiplying the highest exponent prime factors to calculate the LCM of 18565 and 18574.

LCM(18565,18574) = 5¹ × 47¹ × 79¹ × 2¹ × 37¹ × 251¹
LCM(18565,18574) = 344826310