What is the Least Common Multiple of 90298 and 90311?

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 90298 and 90311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90298 and 90311, than apply into the LCM equation.

GCF(90298,90311) = 13
LCM(90298,90311) = ( 90298 × 90311) / 13
LCM(90298,90311) = 8154902678 / 13
LCM(90298,90311) = 627300206

Least Common Multiple (LCM) of 90298 and 90311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90298 and 90311. First we will calculate the prime factors of 90298 and 90311.

Prime Factorization of 90298

Prime Factorization of 90311

Now multiplying the highest exponent prime factors to calculate the LCM of 90298 and 90311.

LCM(90298,90311) = 2¹ × 13¹ × 23¹ × 151¹ × 6947¹
LCM(90298,90311) = 627300206