What is the Least Common Multiple of 90170 and 90176?

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 90176 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 90176, than apply into the LCM equation.

GCF(90170,90176) = 2
LCM(90170,90176) = ( 90170 × 90176) / 2
LCM(90170,90176) = 8131169920 / 2
LCM(90170,90176) = 4065584960

Least Common Multiple (LCM) of 90170 and 90176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90170 and 90176. First we will calculate the prime factors of 90170 and 90176.

Prime Factorization of 90170

Prime Factorization of 90176

Now multiplying the highest exponent prime factors to calculate the LCM of 90170 and 90176.

LCM(90170,90176) = 2⁶ × 5¹ × 71¹ × 127¹ × 1409¹
LCM(90170,90176) = 4065584960