What is the Least Common Multiple of 90475 and 90487?

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 90475 and 90487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90475 and 90487, than apply into the LCM equation.

GCF(90475,90487) = 1
LCM(90475,90487) = ( 90475 × 90487) / 1
LCM(90475,90487) = 8186811325 / 1
LCM(90475,90487) = 8186811325

Least Common Multiple (LCM) of 90475 and 90487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90475 and 90487. First we will calculate the prime factors of 90475 and 90487.

Prime Factorization of 90475

Prime Factorization of 90487

Now multiplying the highest exponent prime factors to calculate the LCM of 90475 and 90487.

LCM(90475,90487) = 5² × 7¹ × 11¹ × 47¹ × 41¹ × 2207¹
LCM(90475,90487) = 8186811325