What is the Least Common Multiple of 93521 and 93539?

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 93521 and 93539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93521 and 93539, than apply into the LCM equation.

GCF(93521,93539) = 1
LCM(93521,93539) = ( 93521 × 93539) / 1
LCM(93521,93539) = 8747860819 / 1
LCM(93521,93539) = 8747860819

Least Common Multiple (LCM) of 93521 and 93539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93521 and 93539. First we will calculate the prime factors of 93521 and 93539.

Prime Factorization of 93521

Prime Factorization of 93539

Now multiplying the highest exponent prime factors to calculate the LCM of 93521 and 93539.

LCM(93521,93539) = 41¹ × 2281¹ × 89¹ × 1051¹
LCM(93521,93539) = 8747860819