What is the Least Common Multiple of 81684 and 81702?

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 81684 and 81702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81684 and 81702, than apply into the LCM equation.

GCF(81684,81702) = 18
LCM(81684,81702) = ( 81684 × 81702) / 18
LCM(81684,81702) = 6673746168 / 18
LCM(81684,81702) = 370763676

Least Common Multiple (LCM) of 81684 and 81702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81684 and 81702. First we will calculate the prime factors of 81684 and 81702.

Prime Factorization of 81684

Prime Factorization of 81702

Now multiplying the highest exponent prime factors to calculate the LCM of 81684 and 81702.

LCM(81684,81702) = 2² × 3³ × 2269¹ × 17¹ × 89¹
LCM(81684,81702) = 370763676