What is the Least Common Multiple of 86678 and 86697?

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 86678 and 86697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86678 and 86697, than apply into the LCM equation.

GCF(86678,86697) = 19
LCM(86678,86697) = ( 86678 × 86697) / 19
LCM(86678,86697) = 7514722566 / 19
LCM(86678,86697) = 395511714

Least Common Multiple (LCM) of 86678 and 86697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86678 and 86697. First we will calculate the prime factors of 86678 and 86697.

Prime Factorization of 86678

Prime Factorization of 86697

Now multiplying the highest exponent prime factors to calculate the LCM of 86678 and 86697.

LCM(86678,86697) = 2¹ × 19¹ × 2281¹ × 3³ × 13²
LCM(86678,86697) = 395511714