What is the Least Common Multiple of 90352 and 90367?

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 90352 and 90367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90352 and 90367, than apply into the LCM equation.

GCF(90352,90367) = 1
LCM(90352,90367) = ( 90352 × 90367) / 1
LCM(90352,90367) = 8164839184 / 1
LCM(90352,90367) = 8164839184

Least Common Multiple (LCM) of 90352 and 90367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90352 and 90367. First we will calculate the prime factors of 90352 and 90367.

Prime Factorization of 90352

Prime Factorization of 90367

Now multiplying the highest exponent prime factors to calculate the LCM of 90352 and 90367.

LCM(90352,90367) = 2⁴ × 5647¹ × 23¹ × 3929¹
LCM(90352,90367) = 8164839184