What is the Least Common Multiple of 91269 and 91289?

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 91269 and 91289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91269 and 91289, than apply into the LCM equation.

GCF(91269,91289) = 1
LCM(91269,91289) = ( 91269 × 91289) / 1
LCM(91269,91289) = 8331855741 / 1
LCM(91269,91289) = 8331855741

Least Common Multiple (LCM) of 91269 and 91289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91269 and 91289. First we will calculate the prime factors of 91269 and 91289.

Prime Factorization of 91269

Prime Factorization of 91289

Now multiplying the highest exponent prime factors to calculate the LCM of 91269 and 91289.

LCM(91269,91289) = 3² × 10141¹ × 11¹ × 43¹ × 193¹
LCM(91269,91289) = 8331855741