What is the Least Common Multiple of 86678 and 86690?

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 86690 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 86690, than apply into the LCM equation.

GCF(86678,86690) = 2
LCM(86678,86690) = ( 86678 × 86690) / 2
LCM(86678,86690) = 7514115820 / 2
LCM(86678,86690) = 3757057910

Least Common Multiple (LCM) of 86678 and 86690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86678 and 86690. First we will calculate the prime factors of 86678 and 86690.

Prime Factorization of 86678

Prime Factorization of 86690

Now multiplying the highest exponent prime factors to calculate the LCM of 86678 and 86690.

LCM(86678,86690) = 2¹ × 19¹ × 2281¹ × 5¹ × 8669¹
LCM(86678,86690) = 3757057910