What is the Least Common Multiple of 86914 and 86926?

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 86914 and 86926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86914 and 86926, than apply into the LCM equation.

GCF(86914,86926) = 2
LCM(86914,86926) = ( 86914 × 86926) / 2
LCM(86914,86926) = 7555086364 / 2
LCM(86914,86926) = 3777543182

Least Common Multiple (LCM) of 86914 and 86926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86914 and 86926. First we will calculate the prime factors of 86914 and 86926.

Prime Factorization of 86914

Prime Factorization of 86926

Now multiplying the highest exponent prime factors to calculate the LCM of 86914 and 86926.

LCM(86914,86926) = 2¹ × 43457¹ × 7² × 887¹
LCM(86914,86926) = 3777543182