What is the Least Common Multiple of 86678 and 86686?

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 86686 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 86686, than apply into the LCM equation.

GCF(86678,86686) = 2
LCM(86678,86686) = ( 86678 × 86686) / 2
LCM(86678,86686) = 7513769108 / 2
LCM(86678,86686) = 3756884554

Least Common Multiple (LCM) of 86678 and 86686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86678 and 86686. First we will calculate the prime factors of 86678 and 86686.

Prime Factorization of 86678

Prime Factorization of 86686

Now multiplying the highest exponent prime factors to calculate the LCM of 86678 and 86686.

LCM(86678,86686) = 2¹ × 19¹ × 2281¹ × 89¹ × 487¹
LCM(86678,86686) = 3756884554