What is the Least Common Multiple of 34466 and 34479?

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 34466 and 34479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34466 and 34479, than apply into the LCM equation.

GCF(34466,34479) = 1
LCM(34466,34479) = ( 34466 × 34479) / 1
LCM(34466,34479) = 1188353214 / 1
LCM(34466,34479) = 1188353214

Least Common Multiple (LCM) of 34466 and 34479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34466 and 34479. First we will calculate the prime factors of 34466 and 34479.

Prime Factorization of 34466

Prime Factorization of 34479

Now multiplying the highest exponent prime factors to calculate the LCM of 34466 and 34479.

LCM(34466,34479) = 2¹ × 19¹ × 907¹ × 3³ × 1277¹
LCM(34466,34479) = 1188353214