What is the Least Common Multiple of 90279 and 90285?

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 90285 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 90285, than apply into the LCM equation.

GCF(90279,90285) = 3
LCM(90279,90285) = ( 90279 × 90285) / 3
LCM(90279,90285) = 8150839515 / 3
LCM(90279,90285) = 2716946505

Least Common Multiple (LCM) of 90279 and 90285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90279 and 90285. First we will calculate the prime factors of 90279 and 90285.

Prime Factorization of 90279

Prime Factorization of 90285

Now multiplying the highest exponent prime factors to calculate the LCM of 90279 and 90285.

LCM(90279,90285) = 3² × 7¹ × 1433¹ × 5¹ × 13¹ × 463¹
LCM(90279,90285) = 2716946505