What is the Least Common Multiple of 90092 and 90098?

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 90092 and 90098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90092 and 90098, than apply into the LCM equation.

GCF(90092,90098) = 2
LCM(90092,90098) = ( 90092 × 90098) / 2
LCM(90092,90098) = 8117109016 / 2
LCM(90092,90098) = 4058554508

Least Common Multiple (LCM) of 90092 and 90098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90092 and 90098. First we will calculate the prime factors of 90092 and 90098.

Prime Factorization of 90092

Prime Factorization of 90098

Now multiplying the highest exponent prime factors to calculate the LCM of 90092 and 90098.

LCM(90092,90098) = 2² × 101¹ × 223¹ × 19¹ × 2371¹
LCM(90092,90098) = 4058554508