What is the Least Common Multiple of 90298 and 90316?

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 90316 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 90316, than apply into the LCM equation.

GCF(90298,90316) = 2
LCM(90298,90316) = ( 90298 × 90316) / 2
LCM(90298,90316) = 8155354168 / 2
LCM(90298,90316) = 4077677084

Least Common Multiple (LCM) of 90298 and 90316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90298 and 90316. First we will calculate the prime factors of 90298 and 90316.

Prime Factorization of 90298

Prime Factorization of 90316

Now multiplying the highest exponent prime factors to calculate the LCM of 90298 and 90316.

LCM(90298,90316) = 2² × 13¹ × 23¹ × 151¹ × 67¹ × 337¹
LCM(90298,90316) = 4077677084