What is the Least Common Multiple of 91281 and 91299?

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 91299 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 91299, than apply into the LCM equation.

GCF(91281,91299) = 3
LCM(91281,91299) = ( 91281 × 91299) / 3
LCM(91281,91299) = 8333864019 / 3
LCM(91281,91299) = 2777954673

Least Common Multiple (LCM) of 91281 and 91299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91281 and 91299. First we will calculate the prime factors of 91281 and 91299.

Prime Factorization of 91281

Prime Factorization of 91299

Now multiplying the highest exponent prime factors to calculate the LCM of 91281 and 91299.

LCM(91281,91299) = 3¹ × 30427¹ × 13¹ × 2341¹
LCM(91281,91299) = 2777954673