What is the Least Common Multiple of 86891 and 86904?

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 86891 and 86904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86891 and 86904, than apply into the LCM equation.

GCF(86891,86904) = 1
LCM(86891,86904) = ( 86891 × 86904) / 1
LCM(86891,86904) = 7551175464 / 1
LCM(86891,86904) = 7551175464

Least Common Multiple (LCM) of 86891 and 86904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86891 and 86904. First we will calculate the prime factors of 86891 and 86904.

Prime Factorization of 86891

Prime Factorization of 86904

Now multiplying the highest exponent prime factors to calculate the LCM of 86891 and 86904.

LCM(86891,86904) = 7¹ × 12413¹ × 2³ × 3² × 17¹ × 71¹
LCM(86891,86904) = 7551175464