What is the Least Common Multiple of 86900 and 86911?

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 86900 and 86911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86900 and 86911, than apply into the LCM equation.

GCF(86900,86911) = 11
LCM(86900,86911) = ( 86900 × 86911) / 11
LCM(86900,86911) = 7552565900 / 11
LCM(86900,86911) = 686596900

Least Common Multiple (LCM) of 86900 and 86911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86900 and 86911. First we will calculate the prime factors of 86900 and 86911.

Prime Factorization of 86900

Prime Factorization of 86911

Now multiplying the highest exponent prime factors to calculate the LCM of 86900 and 86911.

LCM(86900,86911) = 2² × 5² × 11¹ × 79¹ × 7901¹
LCM(86900,86911) = 686596900