What is the Least Common Multiple of 93355 and 93373?

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 93355 and 93373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93355 and 93373, than apply into the LCM equation.

GCF(93355,93373) = 1
LCM(93355,93373) = ( 93355 × 93373) / 1
LCM(93355,93373) = 8716836415 / 1
LCM(93355,93373) = 8716836415

Least Common Multiple (LCM) of 93355 and 93373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93355 and 93373. First we will calculate the prime factors of 93355 and 93373.

Prime Factorization of 93355

Prime Factorization of 93373

Now multiplying the highest exponent prime factors to calculate the LCM of 93355 and 93373.

LCM(93355,93373) = 5¹ × 18671¹ × 7¹ × 13339¹
LCM(93355,93373) = 8716836415