What is the Least Common Multiple of 93318 and 93337?

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 93318 and 93337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93318 and 93337, than apply into the LCM equation.

GCF(93318,93337) = 1
LCM(93318,93337) = ( 93318 × 93337) / 1
LCM(93318,93337) = 8710022166 / 1
LCM(93318,93337) = 8710022166

Least Common Multiple (LCM) of 93318 and 93337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93318 and 93337. First we will calculate the prime factors of 93318 and 93337.

Prime Factorization of 93318

Prime Factorization of 93337

Now multiplying the highest exponent prime factors to calculate the LCM of 93318 and 93337.

LCM(93318,93337) = 2¹ × 3¹ × 103¹ × 151¹ × 93337¹
LCM(93318,93337) = 8710022166