What is the Least Common Multiple of 86707 and 86712?

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 86707 and 86712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86707 and 86712, than apply into the LCM equation.

GCF(86707,86712) = 1
LCM(86707,86712) = ( 86707 × 86712) / 1
LCM(86707,86712) = 7518537384 / 1
LCM(86707,86712) = 7518537384

Least Common Multiple (LCM) of 86707 and 86712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86707 and 86712. First we will calculate the prime factors of 86707 and 86712.

Prime Factorization of 86707

Prime Factorization of 86712

Now multiplying the highest exponent prime factors to calculate the LCM of 86707 and 86712.

LCM(86707,86712) = 31¹ × 2797¹ × 2³ × 3¹ × 3613¹
LCM(86707,86712) = 7518537384