What is the Least Common Multiple of 81686 and 81705?

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 81686 and 81705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81686 and 81705, than apply into the LCM equation.

GCF(81686,81705) = 1
LCM(81686,81705) = ( 81686 × 81705) / 1
LCM(81686,81705) = 6674154630 / 1
LCM(81686,81705) = 6674154630

Least Common Multiple (LCM) of 81686 and 81705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81686 and 81705. First we will calculate the prime factors of 81686 and 81705.

Prime Factorization of 81686

Prime Factorization of 81705

Now multiplying the highest exponent prime factors to calculate the LCM of 81686 and 81705.

LCM(81686,81705) = 2¹ × 11¹ × 47¹ × 79¹ × 3¹ × 5¹ × 13¹ × 419¹
LCM(81686,81705) = 6674154630