What is the Least Common Multiple of 34479 and 34488?

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 34479 and 34488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34479 and 34488, than apply into the LCM equation.

GCF(34479,34488) = 9
LCM(34479,34488) = ( 34479 × 34488) / 9
LCM(34479,34488) = 1189111752 / 9
LCM(34479,34488) = 132123528

Least Common Multiple (LCM) of 34479 and 34488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34479 and 34488. First we will calculate the prime factors of 34479 and 34488.

Prime Factorization of 34479

Prime Factorization of 34488

Now multiplying the highest exponent prime factors to calculate the LCM of 34479 and 34488.

LCM(34479,34488) = 3³ × 1277¹ × 2³ × 479¹
LCM(34479,34488) = 132123528