What is the Least Common Multiple of 90208 and 90226?

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 90208 and 90226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90208 and 90226, than apply into the LCM equation.

GCF(90208,90226) = 2
LCM(90208,90226) = ( 90208 × 90226) / 2
LCM(90208,90226) = 8139107008 / 2
LCM(90208,90226) = 4069553504

Least Common Multiple (LCM) of 90208 and 90226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90208 and 90226. First we will calculate the prime factors of 90208 and 90226.

Prime Factorization of 90208

Prime Factorization of 90226

Now multiplying the highest exponent prime factors to calculate the LCM of 90208 and 90226.

LCM(90208,90226) = 2⁵ × 2819¹ × 197¹ × 229¹
LCM(90208,90226) = 4069553504