What is the Least Common Multiple of 90157 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 90157 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 90157 and 90170, than apply into the LCM equation.

GCF(90157,90170) = 1
LCM(90157,90170) = ( 90157 × 90170) / 1
LCM(90157,90170) = 8129456690 / 1
LCM(90157,90170) = 8129456690

Least Common Multiple (LCM) of 90157 and 90170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90157 and 90170. First we will calculate the prime factors of 90157 and 90170.

Prime Factorization of 90157

Prime Factorization of 90170

Now multiplying the highest exponent prime factors to calculate the LCM of 90157 and 90170.

LCM(90157,90170) = 89¹ × 1013¹ × 2¹ × 5¹ × 71¹ × 127¹
LCM(90157,90170) = 8129456690