What is the Least Common Multiple of 93806 and 93823?

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 93806 and 93823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93806 and 93823, than apply into the LCM equation.

GCF(93806,93823) = 17
LCM(93806,93823) = ( 93806 × 93823) / 17
LCM(93806,93823) = 8801160338 / 17
LCM(93806,93823) = 517715314

Least Common Multiple (LCM) of 93806 and 93823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93806 and 93823. First we will calculate the prime factors of 93806 and 93823.

Prime Factorization of 93806

Prime Factorization of 93823

Now multiplying the highest exponent prime factors to calculate the LCM of 93806 and 93823.

LCM(93806,93823) = 2¹ × 17¹ × 31¹ × 89¹ × 5519¹
LCM(93806,93823) = 517715314