What is the Least Common Multiple of 35583 and 35592?

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 35583 and 35592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35583 and 35592, than apply into the LCM equation.

GCF(35583,35592) = 3
LCM(35583,35592) = ( 35583 × 35592) / 3
LCM(35583,35592) = 1266470136 / 3
LCM(35583,35592) = 422156712

Least Common Multiple (LCM) of 35583 and 35592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35583 and 35592. First we will calculate the prime factors of 35583 and 35592.

Prime Factorization of 35583

Prime Factorization of 35592

Now multiplying the highest exponent prime factors to calculate the LCM of 35583 and 35592.

LCM(35583,35592) = 3¹ × 29¹ × 409¹ × 2³ × 1483¹
LCM(35583,35592) = 422156712