What is the Least Common Multiple of 90800 and 90814?

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 90800 and 90814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90800 and 90814, than apply into the LCM equation.

GCF(90800,90814) = 2
LCM(90800,90814) = ( 90800 × 90814) / 2
LCM(90800,90814) = 8245911200 / 2
LCM(90800,90814) = 4122955600

Least Common Multiple (LCM) of 90800 and 90814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90800 and 90814. First we will calculate the prime factors of 90800 and 90814.

Prime Factorization of 90800

Prime Factorization of 90814

Now multiplying the highest exponent prime factors to calculate the LCM of 90800 and 90814.

LCM(90800,90814) = 2⁴ × 5² × 227¹ × 17¹ × 2671¹
LCM(90800,90814) = 4122955600