What is the Least Common Multiple of 90306 and 90326?

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 90306 and 90326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90306 and 90326, than apply into the LCM equation.

GCF(90306,90326) = 2
LCM(90306,90326) = ( 90306 × 90326) / 2
LCM(90306,90326) = 8156979756 / 2
LCM(90306,90326) = 4078489878

Least Common Multiple (LCM) of 90306 and 90326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90306 and 90326. First we will calculate the prime factors of 90306 and 90326.

Prime Factorization of 90306

Prime Factorization of 90326

Now multiplying the highest exponent prime factors to calculate the LCM of 90306 and 90326.

LCM(90306,90326) = 2¹ × 3² × 29¹ × 173¹ × 19¹ × 2377¹
LCM(90306,90326) = 4078489878