What is the Least Common Multiple of 34057 and 34067?

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 34057 and 34067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34057 and 34067, than apply into the LCM equation.

GCF(34057,34067) = 1
LCM(34057,34067) = ( 34057 × 34067) / 1
LCM(34057,34067) = 1160219819 / 1
LCM(34057,34067) = 1160219819

Least Common Multiple (LCM) of 34057 and 34067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34057 and 34067. First we will calculate the prime factors of 34057 and 34067.

Prime Factorization of 34057

Prime Factorization of 34067

Now multiplying the highest exponent prime factors to calculate the LCM of 34057 and 34067.

LCM(34057,34067) = 34057¹ × 11¹ × 19¹ × 163¹
LCM(34057,34067) = 1160219819