What is the Least Common Multiple of 17034 and 17046?

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 17034 and 17046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17034 and 17046, than apply into the LCM equation.

GCF(17034,17046) = 6
LCM(17034,17046) = ( 17034 × 17046) / 6
LCM(17034,17046) = 290361564 / 6
LCM(17034,17046) = 48393594

Least Common Multiple (LCM) of 17034 and 17046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17034 and 17046. First we will calculate the prime factors of 17034 and 17046.

Prime Factorization of 17034

Prime Factorization of 17046

Now multiplying the highest exponent prime factors to calculate the LCM of 17034 and 17046.

LCM(17034,17046) = 2¹ × 3² × 17¹ × 167¹ × 947¹
LCM(17034,17046) = 48393594