What is the Least Common Multiple of 88346 and 88353?

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 88346 and 88353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88346 and 88353, than apply into the LCM equation.

GCF(88346,88353) = 1
LCM(88346,88353) = ( 88346 × 88353) / 1
LCM(88346,88353) = 7805634138 / 1
LCM(88346,88353) = 7805634138

Least Common Multiple (LCM) of 88346 and 88353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88346 and 88353. First we will calculate the prime factors of 88346 and 88353.

Prime Factorization of 88346

Prime Factorization of 88353

Now multiplying the highest exponent prime factors to calculate the LCM of 88346 and 88353.

LCM(88346,88353) = 2¹ × 163¹ × 271¹ × 3² × 9817¹
LCM(88346,88353) = 7805634138