What is the Least Common Multiple of 90804 and 90819?

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 90804 and 90819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90804 and 90819, than apply into the LCM equation.

GCF(90804,90819) = 3
LCM(90804,90819) = ( 90804 × 90819) / 3
LCM(90804,90819) = 8246728476 / 3
LCM(90804,90819) = 2748909492

Least Common Multiple (LCM) of 90804 and 90819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90804 and 90819. First we will calculate the prime factors of 90804 and 90819.

Prime Factorization of 90804

Prime Factorization of 90819

Now multiplying the highest exponent prime factors to calculate the LCM of 90804 and 90819.

LCM(90804,90819) = 2² × 3² × 7¹ × 23¹ × 47¹ × 10091¹
LCM(90804,90819) = 2748909492