What is the Least Common Multiple of 93405 and 93417?

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 93405 and 93417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93405 and 93417, than apply into the LCM equation.

GCF(93405,93417) = 3
LCM(93405,93417) = ( 93405 × 93417) / 3
LCM(93405,93417) = 8725614885 / 3
LCM(93405,93417) = 2908538295

Least Common Multiple (LCM) of 93405 and 93417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93405 and 93417. First we will calculate the prime factors of 93405 and 93417.

Prime Factorization of 93405

Prime Factorization of 93417

Now multiplying the highest exponent prime factors to calculate the LCM of 93405 and 93417.

LCM(93405,93417) = 3¹ × 5¹ × 13¹ × 479¹ × 31139¹
LCM(93405,93417) = 2908538295