What is the Least Common Multiple of 86856 and 86870?

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 86856 and 86870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86856 and 86870, than apply into the LCM equation.

GCF(86856,86870) = 14
LCM(86856,86870) = ( 86856 × 86870) / 14
LCM(86856,86870) = 7545180720 / 14
LCM(86856,86870) = 538941480

Least Common Multiple (LCM) of 86856 and 86870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86856 and 86870. First we will calculate the prime factors of 86856 and 86870.

Prime Factorization of 86856

Prime Factorization of 86870

Now multiplying the highest exponent prime factors to calculate the LCM of 86856 and 86870.

LCM(86856,86870) = 2³ × 3¹ × 7¹ × 11¹ × 47¹ × 5¹ × 17¹ × 73¹
LCM(86856,86870) = 538941480