What is the Least Common Multiple of 90170 and 90175?

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 90170 and 90175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90170 and 90175, than apply into the LCM equation.

GCF(90170,90175) = 5
LCM(90170,90175) = ( 90170 × 90175) / 5
LCM(90170,90175) = 8131079750 / 5
LCM(90170,90175) = 1626215950

Least Common Multiple (LCM) of 90170 and 90175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90170 and 90175. First we will calculate the prime factors of 90170 and 90175.

Prime Factorization of 90170

Prime Factorization of 90175

Now multiplying the highest exponent prime factors to calculate the LCM of 90170 and 90175.

LCM(90170,90175) = 2¹ × 5² × 71¹ × 127¹ × 3607¹
LCM(90170,90175) = 1626215950