What is the Least Common Multiple of 91281 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 91281 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 91281 and 91289, than apply into the LCM equation.

GCF(91281,91289) = 1
LCM(91281,91289) = ( 91281 × 91289) / 1
LCM(91281,91289) = 8332951209 / 1
LCM(91281,91289) = 8332951209

Least Common Multiple (LCM) of 91281 and 91289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91281 and 91289. First we will calculate the prime factors of 91281 and 91289.

Prime Factorization of 91281

Prime Factorization of 91289

Now multiplying the highest exponent prime factors to calculate the LCM of 91281 and 91289.

LCM(91281,91289) = 3¹ × 30427¹ × 11¹ × 43¹ × 193¹
LCM(91281,91289) = 8332951209