What is the Least Common Multiple of 27684 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 27684 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 27684 and 27702, than apply into the LCM equation.

GCF(27684,27702) = 18
LCM(27684,27702) = ( 27684 × 27702) / 18
LCM(27684,27702) = 766902168 / 18
LCM(27684,27702) = 42605676

Least Common Multiple (LCM) of 27684 and 27702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27684 and 27702. First we will calculate the prime factors of 27684 and 27702.

Prime Factorization of 27684

Prime Factorization of 27702

Now multiplying the highest exponent prime factors to calculate the LCM of 27684 and 27702.

LCM(27684,27702) = 2² × 3⁶ × 769¹ × 19¹
LCM(27684,27702) = 42605676