What is the Least Common Multiple of 86685 and 86705?

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 86685 and 86705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86685 and 86705, than apply into the LCM equation.

GCF(86685,86705) = 5
LCM(86685,86705) = ( 86685 × 86705) / 5
LCM(86685,86705) = 7516022925 / 5
LCM(86685,86705) = 1503204585

Least Common Multiple (LCM) of 86685 and 86705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86685 and 86705. First we will calculate the prime factors of 86685 and 86705.

Prime Factorization of 86685

Prime Factorization of 86705

Now multiplying the highest exponent prime factors to calculate the LCM of 86685 and 86705.

LCM(86685,86705) = 3¹ × 5¹ × 5779¹ × 17341¹
LCM(86685,86705) = 1503204585