What is the Least Common Multiple of 93673 and 93684?

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 93673 and 93684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93673 and 93684, than apply into the LCM equation.

GCF(93673,93684) = 1
LCM(93673,93684) = ( 93673 × 93684) / 1
LCM(93673,93684) = 8775661332 / 1
LCM(93673,93684) = 8775661332

Least Common Multiple (LCM) of 93673 and 93684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93673 and 93684. First we will calculate the prime factors of 93673 and 93684.

Prime Factorization of 93673

Prime Factorization of 93684

Now multiplying the highest exponent prime factors to calculate the LCM of 93673 and 93684.

LCM(93673,93684) = 283¹ × 331¹ × 2² × 3¹ × 37¹ × 211¹
LCM(93673,93684) = 8775661332