What is the Least Common Multiple of 86705 and 86709?

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 86705 and 86709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86705 and 86709, than apply into the LCM equation.

GCF(86705,86709) = 1
LCM(86705,86709) = ( 86705 × 86709) / 1
LCM(86705,86709) = 7518103845 / 1
LCM(86705,86709) = 7518103845

Least Common Multiple (LCM) of 86705 and 86709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86705 and 86709. First we will calculate the prime factors of 86705 and 86709.

Prime Factorization of 86705

Prime Factorization of 86709

Now multiplying the highest exponent prime factors to calculate the LCM of 86705 and 86709.

LCM(86705,86709) = 5¹ × 17341¹ × 3¹ × 7¹ × 4129¹
LCM(86705,86709) = 7518103845