What is the Least Common Multiple of 93666 and 93677?

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 93677 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 93677, than apply into the LCM equation.

GCF(93666,93677) = 1
LCM(93666,93677) = ( 93666 × 93677) / 1
LCM(93666,93677) = 8774349882 / 1
LCM(93666,93677) = 8774349882

Least Common Multiple (LCM) of 93666 and 93677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93666 and 93677. First we will calculate the prime factors of 93666 and 93677.

Prime Factorization of 93666

Prime Factorization of 93677

Now multiplying the highest exponent prime factors to calculate the LCM of 93666 and 93677.

LCM(93666,93677) = 2¹ × 3¹ × 67¹ × 233¹ × 113¹ × 829¹
LCM(93666,93677) = 8774349882