What is the Least Common Multiple of 90304 and 90310?

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 90304 and 90310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90304 and 90310, than apply into the LCM equation.

GCF(90304,90310) = 2
LCM(90304,90310) = ( 90304 × 90310) / 2
LCM(90304,90310) = 8155354240 / 2
LCM(90304,90310) = 4077677120

Least Common Multiple (LCM) of 90304 and 90310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90304 and 90310. First we will calculate the prime factors of 90304 and 90310.

Prime Factorization of 90304

Prime Factorization of 90310

Now multiplying the highest exponent prime factors to calculate the LCM of 90304 and 90310.

LCM(90304,90310) = 2⁶ × 17¹ × 83¹ × 5¹ × 11¹ × 821¹
LCM(90304,90310) = 4077677120