What is the Least Common Multiple of 86678 and 86691?

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 86691 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 86691, than apply into the LCM equation.

GCF(86678,86691) = 1
LCM(86678,86691) = ( 86678 × 86691) / 1
LCM(86678,86691) = 7514202498 / 1
LCM(86678,86691) = 7514202498

Least Common Multiple (LCM) of 86678 and 86691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86678 and 86691. First we will calculate the prime factors of 86678 and 86691.

Prime Factorization of 86678

Prime Factorization of 86691

Now multiplying the highest exponent prime factors to calculate the LCM of 86678 and 86691.

LCM(86678,86691) = 2¹ × 19¹ × 2281¹ × 3¹ × 11¹ × 37¹ × 71¹
LCM(86678,86691) = 7514202498