What is the Least Common Multiple of 93666 and 93683?

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 93666 and 93683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93666 and 93683, than apply into the LCM equation.

GCF(93666,93683) = 1
LCM(93666,93683) = ( 93666 × 93683) / 1
LCM(93666,93683) = 8774911878 / 1
LCM(93666,93683) = 8774911878

Least Common Multiple (LCM) of 93666 and 93683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93666 and 93683. First we will calculate the prime factors of 93666 and 93683.

Prime Factorization of 93666

Prime Factorization of 93683

Now multiplying the highest exponent prime factors to calculate the LCM of 93666 and 93683.

LCM(93666,93683) = 2¹ × 3¹ × 67¹ × 233¹ × 93683¹
LCM(93666,93683) = 8774911878