What is the Least Common Multiple of 90206 and 90214?

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 90206 and 90214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90206 and 90214, than apply into the LCM equation.

GCF(90206,90214) = 2
LCM(90206,90214) = ( 90206 × 90214) / 2
LCM(90206,90214) = 8137844084 / 2
LCM(90206,90214) = 4068922042

Least Common Multiple (LCM) of 90206 and 90214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90206 and 90214. First we will calculate the prime factors of 90206 and 90214.

Prime Factorization of 90206

Prime Factorization of 90214

Now multiplying the highest exponent prime factors to calculate the LCM of 90206 and 90214.

LCM(90206,90214) = 2¹ × 23¹ × 37¹ × 53¹ × 43¹ × 1049¹
LCM(90206,90214) = 4068922042