What is the Least Common Multiple of 81705 and 81710?

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 81705 and 81710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81705 and 81710, than apply into the LCM equation.

GCF(81705,81710) = 5
LCM(81705,81710) = ( 81705 × 81710) / 5
LCM(81705,81710) = 6676115550 / 5
LCM(81705,81710) = 1335223110

Least Common Multiple (LCM) of 81705 and 81710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81705 and 81710. First we will calculate the prime factors of 81705 and 81710.

Prime Factorization of 81705

Prime Factorization of 81710

Now multiplying the highest exponent prime factors to calculate the LCM of 81705 and 81710.

LCM(81705,81710) = 3¹ × 5¹ × 13¹ × 419¹ × 2¹ × 8171¹
LCM(81705,81710) = 1335223110