What is the Least Common Multiple of 34047 and 34053?

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 34047 and 34053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34047 and 34053, than apply into the LCM equation.

GCF(34047,34053) = 3
LCM(34047,34053) = ( 34047 × 34053) / 3
LCM(34047,34053) = 1159402491 / 3
LCM(34047,34053) = 386467497

Least Common Multiple (LCM) of 34047 and 34053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34047 and 34053. First we will calculate the prime factors of 34047 and 34053.

Prime Factorization of 34047

Prime Factorization of 34053

Now multiplying the highest exponent prime factors to calculate the LCM of 34047 and 34053.

LCM(34047,34053) = 3³ × 13¹ × 97¹ × 11351¹
LCM(34047,34053) = 386467497