What is the Least Common Multiple of 17040 and 17058?

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 17040 and 17058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17040 and 17058, than apply into the LCM equation.

GCF(17040,17058) = 6
LCM(17040,17058) = ( 17040 × 17058) / 6
LCM(17040,17058) = 290668320 / 6
LCM(17040,17058) = 48444720

Least Common Multiple (LCM) of 17040 and 17058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17040 and 17058. First we will calculate the prime factors of 17040 and 17058.

Prime Factorization of 17040

Prime Factorization of 17058

Now multiplying the highest exponent prime factors to calculate the LCM of 17040 and 17058.

LCM(17040,17058) = 2⁴ × 3¹ × 5¹ × 71¹ × 2843¹
LCM(17040,17058) = 48444720