What is the Least Common Multiple of 88281 and 88297?

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 88281 and 88297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88281 and 88297, than apply into the LCM equation.

GCF(88281,88297) = 1
LCM(88281,88297) = ( 88281 × 88297) / 1
LCM(88281,88297) = 7794947457 / 1
LCM(88281,88297) = 7794947457

Least Common Multiple (LCM) of 88281 and 88297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88281 and 88297. First we will calculate the prime factors of 88281 and 88297.

Prime Factorization of 88281

Prime Factorization of 88297

Now multiplying the highest exponent prime factors to calculate the LCM of 88281 and 88297.

LCM(88281,88297) = 3² × 17¹ × 577¹ × 11¹ × 23¹ × 349¹
LCM(88281,88297) = 7794947457