What is the Least Common Multiple of 86989 and 87007?

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 86989 and 87007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86989 and 87007, than apply into the LCM equation.

GCF(86989,87007) = 1
LCM(86989,87007) = ( 86989 × 87007) / 1
LCM(86989,87007) = 7568651923 / 1
LCM(86989,87007) = 7568651923

Least Common Multiple (LCM) of 86989 and 87007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86989 and 87007. First we will calculate the prime factors of 86989 and 87007.

Prime Factorization of 86989

Prime Factorization of 87007

Now multiplying the highest exponent prime factors to calculate the LCM of 86989 and 87007.

LCM(86989,87007) = 7¹ × 17² × 43¹ × 167¹ × 521¹
LCM(86989,87007) = 7568651923