What is the Least Common Multiple of 77868 and 77881?

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 77868 and 77881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77868 and 77881, than apply into the LCM equation.

GCF(77868,77881) = 1
LCM(77868,77881) = ( 77868 × 77881) / 1
LCM(77868,77881) = 6064437708 / 1
LCM(77868,77881) = 6064437708

Least Common Multiple (LCM) of 77868 and 77881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77868 and 77881. First we will calculate the prime factors of 77868 and 77881.

Prime Factorization of 77868

Prime Factorization of 77881

Now multiplying the highest exponent prime factors to calculate the LCM of 77868 and 77881.

LCM(77868,77881) = 2² × 3³ × 7¹ × 103¹ × 19¹ × 4099¹
LCM(77868,77881) = 6064437708