What is the Least Common Multiple of 34431 and 34446?

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 34431 and 34446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34431 and 34446, than apply into the LCM equation.

GCF(34431,34446) = 3
LCM(34431,34446) = ( 34431 × 34446) / 3
LCM(34431,34446) = 1186010226 / 3
LCM(34431,34446) = 395336742

Least Common Multiple (LCM) of 34431 and 34446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34431 and 34446. First we will calculate the prime factors of 34431 and 34446.

Prime Factorization of 34431

Prime Factorization of 34446

Now multiplying the highest exponent prime factors to calculate the LCM of 34431 and 34446.

LCM(34431,34446) = 3¹ × 23¹ × 499¹ × 2¹ × 5741¹
LCM(34431,34446) = 395336742