What is the Least Common Multiple of 93405 and 93416?

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 93416 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 93416, than apply into the LCM equation.

GCF(93405,93416) = 1
LCM(93405,93416) = ( 93405 × 93416) / 1
LCM(93405,93416) = 8725521480 / 1
LCM(93405,93416) = 8725521480

Least Common Multiple (LCM) of 93405 and 93416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93405 and 93416. First we will calculate the prime factors of 93405 and 93416.

Prime Factorization of 93405

Prime Factorization of 93416

Now multiplying the highest exponent prime factors to calculate the LCM of 93405 and 93416.

LCM(93405,93416) = 3¹ × 5¹ × 13¹ × 479¹ × 2³ × 11677¹
LCM(93405,93416) = 8725521480