What is the Least Common Multiple of 90214 and 90233?

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 90214 and 90233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90214 and 90233, than apply into the LCM equation.

GCF(90214,90233) = 1
LCM(90214,90233) = ( 90214 × 90233) / 1
LCM(90214,90233) = 8140279862 / 1
LCM(90214,90233) = 8140279862

Least Common Multiple (LCM) of 90214 and 90233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90214 and 90233. First we will calculate the prime factors of 90214 and 90233.

Prime Factorization of 90214

Prime Factorization of 90233

Now multiplying the highest exponent prime factors to calculate the LCM of 90214 and 90233.

LCM(90214,90233) = 2¹ × 43¹ × 1049¹ × 11¹ × 13¹ × 631¹
LCM(90214,90233) = 8140279862