What is the Least Common Multiple of 86906 and 86913?

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 86906 and 86913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86906 and 86913, than apply into the LCM equation.

GCF(86906,86913) = 1
LCM(86906,86913) = ( 86906 × 86913) / 1
LCM(86906,86913) = 7553261178 / 1
LCM(86906,86913) = 7553261178

Least Common Multiple (LCM) of 86906 and 86913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86906 and 86913. First we will calculate the prime factors of 86906 and 86913.

Prime Factorization of 86906

Prime Factorization of 86913

Now multiplying the highest exponent prime factors to calculate the LCM of 86906 and 86913.

LCM(86906,86913) = 2¹ × 19¹ × 2287¹ × 3⁴ × 29¹ × 37¹
LCM(86906,86913) = 7553261178