What is the Least Common Multiple of 35566 and 35579?

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 35566 and 35579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35566 and 35579, than apply into the LCM equation.

GCF(35566,35579) = 1
LCM(35566,35579) = ( 35566 × 35579) / 1
LCM(35566,35579) = 1265402714 / 1
LCM(35566,35579) = 1265402714

Least Common Multiple (LCM) of 35566 and 35579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35566 and 35579. First we will calculate the prime factors of 35566 and 35579.

Prime Factorization of 35566

Prime Factorization of 35579

Now multiplying the highest exponent prime factors to calculate the LCM of 35566 and 35579.

LCM(35566,35579) = 2¹ × 17783¹ × 47¹ × 757¹
LCM(35566,35579) = 1265402714