What is the Least Common Multiple of 35409 and 35427?

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 35409 and 35427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35409 and 35427, than apply into the LCM equation.

GCF(35409,35427) = 3
LCM(35409,35427) = ( 35409 × 35427) / 3
LCM(35409,35427) = 1254434643 / 3
LCM(35409,35427) = 418144881

Least Common Multiple (LCM) of 35409 and 35427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35409 and 35427. First we will calculate the prime factors of 35409 and 35427.

Prime Factorization of 35409

Prime Factorization of 35427

Now multiplying the highest exponent prime factors to calculate the LCM of 35409 and 35427.

LCM(35409,35427) = 3¹ × 11¹ × 29¹ × 37¹ × 7² × 241¹
LCM(35409,35427) = 418144881