What is the Least Common Multiple of 86897 and 86915?

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 86897 and 86915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86897 and 86915, than apply into the LCM equation.

GCF(86897,86915) = 1
LCM(86897,86915) = ( 86897 × 86915) / 1
LCM(86897,86915) = 7552652755 / 1
LCM(86897,86915) = 7552652755

Least Common Multiple (LCM) of 86897 and 86915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86897 and 86915. First we will calculate the prime factors of 86897 and 86915.

Prime Factorization of 86897

Prime Factorization of 86915

Now multiplying the highest exponent prime factors to calculate the LCM of 86897 and 86915.

LCM(86897,86915) = 113¹ × 769¹ × 5¹ × 17383¹
LCM(86897,86915) = 7552652755