What is the Least Common Multiple of 34446 and 34461?

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 34446 and 34461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34446 and 34461, than apply into the LCM equation.

GCF(34446,34461) = 3
LCM(34446,34461) = ( 34446 × 34461) / 3
LCM(34446,34461) = 1187043606 / 3
LCM(34446,34461) = 395681202

Least Common Multiple (LCM) of 34446 and 34461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34446 and 34461. First we will calculate the prime factors of 34446 and 34461.

Prime Factorization of 34446

Prime Factorization of 34461

Now multiplying the highest exponent prime factors to calculate the LCM of 34446 and 34461.

LCM(34446,34461) = 2¹ × 3² × 5741¹ × 7¹ × 547¹
LCM(34446,34461) = 395681202