What is the Least Common Multiple of 90279 and 90291?

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 90279 and 90291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90279 and 90291, than apply into the LCM equation.

GCF(90279,90291) = 3
LCM(90279,90291) = ( 90279 × 90291) / 3
LCM(90279,90291) = 8151381189 / 3
LCM(90279,90291) = 2717127063

Least Common Multiple (LCM) of 90279 and 90291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90279 and 90291. First we will calculate the prime factors of 90279 and 90291.

Prime Factorization of 90279

Prime Factorization of 90291

Now multiplying the highest exponent prime factors to calculate the LCM of 90279 and 90291.

LCM(90279,90291) = 3² × 7¹ × 1433¹ × 30097¹
LCM(90279,90291) = 2717127063