What is the Least Common Multiple of 93316 and 93335?

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 93316 and 93335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93316 and 93335, than apply into the LCM equation.

GCF(93316,93335) = 1
LCM(93316,93335) = ( 93316 × 93335) / 1
LCM(93316,93335) = 8709648860 / 1
LCM(93316,93335) = 8709648860

Least Common Multiple (LCM) of 93316 and 93335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93316 and 93335. First we will calculate the prime factors of 93316 and 93335.

Prime Factorization of 93316

Prime Factorization of 93335

Now multiplying the highest exponent prime factors to calculate the LCM of 93316 and 93335.

LCM(93316,93335) = 2² × 41¹ × 569¹ × 5¹ × 11¹ × 1697¹
LCM(93316,93335) = 8709648860