What is the Least Common Multiple of 88491 and 88497?

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 88491 and 88497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88491 and 88497, than apply into the LCM equation.

GCF(88491,88497) = 3
LCM(88491,88497) = ( 88491 × 88497) / 3
LCM(88491,88497) = 7831188027 / 3
LCM(88491,88497) = 2610396009

Least Common Multiple (LCM) of 88491 and 88497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88491 and 88497. First we will calculate the prime factors of 88491 and 88497.

Prime Factorization of 88491

Prime Factorization of 88497

Now multiplying the highest exponent prime factors to calculate the LCM of 88491 and 88497.

LCM(88491,88497) = 3² × 13¹ × 2269¹ × 9833¹
LCM(88491,88497) = 2610396009