What is the Least Common Multiple of 34431 and 34451?

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 34451 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 34451, than apply into the LCM equation.

GCF(34431,34451) = 1
LCM(34431,34451) = ( 34431 × 34451) / 1
LCM(34431,34451) = 1186182381 / 1
LCM(34431,34451) = 1186182381

Least Common Multiple (LCM) of 34431 and 34451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34431 and 34451. First we will calculate the prime factors of 34431 and 34451.

Prime Factorization of 34431

Prime Factorization of 34451

Now multiplying the highest exponent prime factors to calculate the LCM of 34431 and 34451.

LCM(34431,34451) = 3¹ × 23¹ × 499¹ × 47¹ × 733¹
LCM(34431,34451) = 1186182381