What is the Least Common Multiple of 17038 and 17052?

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 17052 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 17052, than apply into the LCM equation.

GCF(17038,17052) = 14
LCM(17038,17052) = ( 17038 × 17052) / 14
LCM(17038,17052) = 290531976 / 14
LCM(17038,17052) = 20752284

Least Common Multiple (LCM) of 17038 and 17052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17038 and 17052. First we will calculate the prime factors of 17038 and 17052.

Prime Factorization of 17038

Prime Factorization of 17052

Now multiplying the highest exponent prime factors to calculate the LCM of 17038 and 17052.

LCM(17038,17052) = 2² × 7² × 1217¹ × 3¹ × 29¹
LCM(17038,17052) = 20752284