What is the Least Common Multiple of 56565 and 56574?

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 56565 and 56574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56565 and 56574, than apply into the LCM equation.

GCF(56565,56574) = 9
LCM(56565,56574) = ( 56565 × 56574) / 9
LCM(56565,56574) = 3200108310 / 9
LCM(56565,56574) = 355567590

Least Common Multiple (LCM) of 56565 and 56574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56565 and 56574. First we will calculate the prime factors of 56565 and 56574.

Prime Factorization of 56565

Prime Factorization of 56574

Now multiplying the highest exponent prime factors to calculate the LCM of 56565 and 56574.

LCM(56565,56574) = 3³ × 5¹ × 419¹ × 2¹ × 7¹ × 449¹
LCM(56565,56574) = 355567590