What is the Least Common Multiple of 86890 and 86895?

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 86890 and 86895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86890 and 86895, than apply into the LCM equation.

GCF(86890,86895) = 5
LCM(86890,86895) = ( 86890 × 86895) / 5
LCM(86890,86895) = 7550306550 / 5
LCM(86890,86895) = 1510061310

Least Common Multiple (LCM) of 86890 and 86895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86890 and 86895. First we will calculate the prime factors of 86890 and 86895.

Prime Factorization of 86890

Prime Factorization of 86895

Now multiplying the highest exponent prime factors to calculate the LCM of 86890 and 86895.

LCM(86890,86895) = 2¹ × 5¹ × 8689¹ × 3² × 1931¹
LCM(86890,86895) = 1510061310