What is the Least Common Multiple of 34047 and 34063?

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 34063 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 34063, than apply into the LCM equation.

GCF(34047,34063) = 1
LCM(34047,34063) = ( 34047 × 34063) / 1
LCM(34047,34063) = 1159742961 / 1
LCM(34047,34063) = 1159742961

Least Common Multiple (LCM) of 34047 and 34063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34047 and 34063. First we will calculate the prime factors of 34047 and 34063.

Prime Factorization of 34047

Prime Factorization of 34063

Now multiplying the highest exponent prime factors to calculate the LCM of 34047 and 34063.

LCM(34047,34063) = 3³ × 13¹ × 97¹ × 23¹ × 1481¹
LCM(34047,34063) = 1159742961