What is the Least Common Multiple of 17020 and 17037?

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 17020 and 17037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17020 and 17037, than apply into the LCM equation.

GCF(17020,17037) = 1
LCM(17020,17037) = ( 17020 × 17037) / 1
LCM(17020,17037) = 289969740 / 1
LCM(17020,17037) = 289969740

Least Common Multiple (LCM) of 17020 and 17037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17020 and 17037. First we will calculate the prime factors of 17020 and 17037.

Prime Factorization of 17020

Prime Factorization of 17037

Now multiplying the highest exponent prime factors to calculate the LCM of 17020 and 17037.

LCM(17020,17037) = 2² × 5¹ × 23¹ × 37¹ × 3³ × 631¹
LCM(17020,17037) = 289969740