What is the Least Common Multiple of 38565 and 38574?

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 38565 and 38574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38565 and 38574, than apply into the LCM equation.

GCF(38565,38574) = 9
LCM(38565,38574) = ( 38565 × 38574) / 9
LCM(38565,38574) = 1487606310 / 9
LCM(38565,38574) = 165289590

Least Common Multiple (LCM) of 38565 and 38574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38565 and 38574. First we will calculate the prime factors of 38565 and 38574.

Prime Factorization of 38565

Prime Factorization of 38574

Now multiplying the highest exponent prime factors to calculate the LCM of 38565 and 38574.

LCM(38565,38574) = 3² × 5¹ × 857¹ × 2¹ × 2143¹
LCM(38565,38574) = 165289590