What is the Least Common Multiple of 17046 and 17055?

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 17046 and 17055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17046 and 17055, than apply into the LCM equation.

GCF(17046,17055) = 9
LCM(17046,17055) = ( 17046 × 17055) / 9
LCM(17046,17055) = 290719530 / 9
LCM(17046,17055) = 32302170

Least Common Multiple (LCM) of 17046 and 17055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17046 and 17055. First we will calculate the prime factors of 17046 and 17055.

Prime Factorization of 17046

Prime Factorization of 17055

Now multiplying the highest exponent prime factors to calculate the LCM of 17046 and 17055.

LCM(17046,17055) = 2¹ × 3² × 947¹ × 5¹ × 379¹
LCM(17046,17055) = 32302170