What is the Least Common Multiple of 89338 and 89346?

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 89338 and 89346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89338 and 89346, than apply into the LCM equation.

GCF(89338,89346) = 2
LCM(89338,89346) = ( 89338 × 89346) / 2
LCM(89338,89346) = 7981992948 / 2
LCM(89338,89346) = 3990996474

Least Common Multiple (LCM) of 89338 and 89346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89338 and 89346. First we will calculate the prime factors of 89338 and 89346.

Prime Factorization of 89338

Prime Factorization of 89346

Now multiplying the highest exponent prime factors to calculate the LCM of 89338 and 89346.

LCM(89338,89346) = 2¹ × 19¹ × 2351¹ × 3¹ × 14891¹
LCM(89338,89346) = 3990996474