What is the Least Common Multiple of 34914 and 34928?

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 34914 and 34928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34914 and 34928, than apply into the LCM equation.

GCF(34914,34928) = 2
LCM(34914,34928) = ( 34914 × 34928) / 2
LCM(34914,34928) = 1219476192 / 2
LCM(34914,34928) = 609738096

Least Common Multiple (LCM) of 34914 and 34928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34914 and 34928. First we will calculate the prime factors of 34914 and 34928.

Prime Factorization of 34914

Prime Factorization of 34928

Now multiplying the highest exponent prime factors to calculate the LCM of 34914 and 34928.

LCM(34914,34928) = 2⁴ × 3¹ × 11¹ × 23² × 37¹ × 59¹
LCM(34914,34928) = 609738096