What is the Least Common Multiple of 91289 and 91297?

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 91289 and 91297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91289 and 91297, than apply into the LCM equation.

GCF(91289,91297) = 1
LCM(91289,91297) = ( 91289 × 91297) / 1
LCM(91289,91297) = 8334411833 / 1
LCM(91289,91297) = 8334411833

Least Common Multiple (LCM) of 91289 and 91297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91289 and 91297. First we will calculate the prime factors of 91289 and 91297.

Prime Factorization of 91289

Prime Factorization of 91297

Now multiplying the highest exponent prime factors to calculate the LCM of 91289 and 91297.

LCM(91289,91297) = 11¹ × 43¹ × 193¹ × 91297¹
LCM(91289,91297) = 8334411833