What is the Least Common Multiple of 86893 and 86905?

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 86893 and 86905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86893 and 86905, than apply into the LCM equation.

GCF(86893,86905) = 1
LCM(86893,86905) = ( 86893 × 86905) / 1
LCM(86893,86905) = 7551436165 / 1
LCM(86893,86905) = 7551436165

Least Common Multiple (LCM) of 86893 and 86905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86893 and 86905. First we will calculate the prime factors of 86893 and 86905.

Prime Factorization of 86893

Prime Factorization of 86905

Now multiplying the highest exponent prime factors to calculate the LCM of 86893 and 86905.

LCM(86893,86905) = 31¹ × 2803¹ × 5¹ × 7¹ × 13¹ × 191¹
LCM(86893,86905) = 7551436165