What is the Least Common Multiple of 86705 and 86719?

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 86719 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 86719, than apply into the LCM equation.

GCF(86705,86719) = 1
LCM(86705,86719) = ( 86705 × 86719) / 1
LCM(86705,86719) = 7518970895 / 1
LCM(86705,86719) = 7518970895

Least Common Multiple (LCM) of 86705 and 86719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86705 and 86719. First we will calculate the prime factors of 86705 and 86719.

Prime Factorization of 86705

Prime Factorization of 86719

Now multiplying the highest exponent prime factors to calculate the LCM of 86705 and 86719.

LCM(86705,86719) = 5¹ × 17341¹ × 86719¹
LCM(86705,86719) = 7518970895