What is the Least Common Multiple of 27693 and 27702?

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 27693 and 27702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27693 and 27702, than apply into the LCM equation.

GCF(27693,27702) = 9
LCM(27693,27702) = ( 27693 × 27702) / 9
LCM(27693,27702) = 767151486 / 9
LCM(27693,27702) = 85239054

Least Common Multiple (LCM) of 27693 and 27702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27693 and 27702. First we will calculate the prime factors of 27693 and 27702.

Prime Factorization of 27693

Prime Factorization of 27702

Now multiplying the highest exponent prime factors to calculate the LCM of 27693 and 27702.

LCM(27693,27702) = 3⁶ × 17¹ × 181¹ × 2¹ × 19¹
LCM(27693,27702) = 85239054