What is the Least Common Multiple of 90332 and 90341?

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 90332 and 90341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90332 and 90341, than apply into the LCM equation.

GCF(90332,90341) = 1
LCM(90332,90341) = ( 90332 × 90341) / 1
LCM(90332,90341) = 8160683212 / 1
LCM(90332,90341) = 8160683212

Least Common Multiple (LCM) of 90332 and 90341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90332 and 90341. First we will calculate the prime factors of 90332 and 90341.

Prime Factorization of 90332

Prime Factorization of 90341

Now multiplying the highest exponent prime factors to calculate the LCM of 90332 and 90341.

LCM(90332,90341) = 2² × 11¹ × 2053¹ × 61¹ × 1481¹
LCM(90332,90341) = 8160683212