What is the Least Common Multiple of 86800 and 86814?

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 86800 and 86814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86800 and 86814, than apply into the LCM equation.

GCF(86800,86814) = 14
LCM(86800,86814) = ( 86800 × 86814) / 14
LCM(86800,86814) = 7535455200 / 14
LCM(86800,86814) = 538246800

Least Common Multiple (LCM) of 86800 and 86814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86800 and 86814. First we will calculate the prime factors of 86800 and 86814.

Prime Factorization of 86800

Prime Factorization of 86814

Now multiplying the highest exponent prime factors to calculate the LCM of 86800 and 86814.

LCM(86800,86814) = 2⁴ × 5² × 7¹ × 31¹ × 3² × 13¹ × 53¹
LCM(86800,86814) = 538246800