What is the Least Common Multiple of 90160 and 90170?

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 90160 and 90170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90160 and 90170, than apply into the LCM equation.

GCF(90160,90170) = 10
LCM(90160,90170) = ( 90160 × 90170) / 10
LCM(90160,90170) = 8129727200 / 10
LCM(90160,90170) = 812972720

Least Common Multiple (LCM) of 90160 and 90170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90160 and 90170. First we will calculate the prime factors of 90160 and 90170.

Prime Factorization of 90160

Prime Factorization of 90170

Now multiplying the highest exponent prime factors to calculate the LCM of 90160 and 90170.

LCM(90160,90170) = 2⁴ × 5¹ × 7² × 23¹ × 71¹ × 127¹
LCM(90160,90170) = 812972720