What is the Least Common Multiple of 93400 and 93405?

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 93400 and 93405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93400 and 93405, than apply into the LCM equation.

GCF(93400,93405) = 5
LCM(93400,93405) = ( 93400 × 93405) / 5
LCM(93400,93405) = 8724027000 / 5
LCM(93400,93405) = 1744805400

Least Common Multiple (LCM) of 93400 and 93405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93400 and 93405. First we will calculate the prime factors of 93400 and 93405.

Prime Factorization of 93400

Prime Factorization of 93405

Now multiplying the highest exponent prime factors to calculate the LCM of 93400 and 93405.

LCM(93400,93405) = 2³ × 5² × 467¹ × 3¹ × 13¹ × 479¹
LCM(93400,93405) = 1744805400