What is the Least Common Multiple of 86896 and 86908?

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 86896 and 86908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86896 and 86908, than apply into the LCM equation.

GCF(86896,86908) = 4
LCM(86896,86908) = ( 86896 × 86908) / 4
LCM(86896,86908) = 7551957568 / 4
LCM(86896,86908) = 1887989392

Least Common Multiple (LCM) of 86896 and 86908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86896 and 86908. First we will calculate the prime factors of 86896 and 86908.

Prime Factorization of 86896

Prime Factorization of 86908

Now multiplying the highest exponent prime factors to calculate the LCM of 86896 and 86908.

LCM(86896,86908) = 2⁴ × 5431¹ × 21727¹
LCM(86896,86908) = 1887989392