What is the Least Common Multiple of 17038 and 17054?

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 17038 and 17054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17038 and 17054, than apply into the LCM equation.

GCF(17038,17054) = 2
LCM(17038,17054) = ( 17038 × 17054) / 2
LCM(17038,17054) = 290566052 / 2
LCM(17038,17054) = 145283026

Least Common Multiple (LCM) of 17038 and 17054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17038 and 17054. First we will calculate the prime factors of 17038 and 17054.

Prime Factorization of 17038

Prime Factorization of 17054

Now multiplying the highest exponent prime factors to calculate the LCM of 17038 and 17054.

LCM(17038,17054) = 2¹ × 7¹ × 1217¹ × 8527¹
LCM(17038,17054) = 145283026