What is the Least Common Multiple of 90976 and 90985?

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 90976 and 90985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90976 and 90985, than apply into the LCM equation.

GCF(90976,90985) = 1
LCM(90976,90985) = ( 90976 × 90985) / 1
LCM(90976,90985) = 8277451360 / 1
LCM(90976,90985) = 8277451360

Least Common Multiple (LCM) of 90976 and 90985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90976 and 90985. First we will calculate the prime factors of 90976 and 90985.

Prime Factorization of 90976

Prime Factorization of 90985

Now multiplying the highest exponent prime factors to calculate the LCM of 90976 and 90985.

LCM(90976,90985) = 2⁵ × 2843¹ × 5¹ × 31¹ × 587¹
LCM(90976,90985) = 8277451360