What is the Least Common Multiple of 77855 and 77868?

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 77855 and 77868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77855 and 77868, than apply into the LCM equation.

GCF(77855,77868) = 1
LCM(77855,77868) = ( 77855 × 77868) / 1
LCM(77855,77868) = 6062413140 / 1
LCM(77855,77868) = 6062413140

Least Common Multiple (LCM) of 77855 and 77868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77855 and 77868. First we will calculate the prime factors of 77855 and 77868.

Prime Factorization of 77855

Prime Factorization of 77868

Now multiplying the highest exponent prime factors to calculate the LCM of 77855 and 77868.

LCM(77855,77868) = 5¹ × 23¹ × 677¹ × 2² × 3³ × 7¹ × 103¹
LCM(77855,77868) = 6062413140