What is the Least Common Multiple of 34912 and 34929?

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 34912 and 34929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34912 and 34929, than apply into the LCM equation.

GCF(34912,34929) = 1
LCM(34912,34929) = ( 34912 × 34929) / 1
LCM(34912,34929) = 1219441248 / 1
LCM(34912,34929) = 1219441248

Least Common Multiple (LCM) of 34912 and 34929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34912 and 34929. First we will calculate the prime factors of 34912 and 34929.

Prime Factorization of 34912

Prime Factorization of 34929

Now multiplying the highest exponent prime factors to calculate the LCM of 34912 and 34929.

LCM(34912,34929) = 2⁵ × 1091¹ × 3² × 3881¹
LCM(34912,34929) = 1219441248