What is the Least Common Multiple of 90176 and 90181?

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 90176 and 90181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90176 and 90181, than apply into the LCM equation.

GCF(90176,90181) = 1
LCM(90176,90181) = ( 90176 × 90181) / 1
LCM(90176,90181) = 8132161856 / 1
LCM(90176,90181) = 8132161856

Least Common Multiple (LCM) of 90176 and 90181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90176 and 90181. First we will calculate the prime factors of 90176 and 90181.

Prime Factorization of 90176

Prime Factorization of 90181

Now multiplying the highest exponent prime factors to calculate the LCM of 90176 and 90181.

LCM(90176,90181) = 2⁶ × 1409¹ × 7¹ × 13¹ × 991¹
LCM(90176,90181) = 8132161856