What is the Least Common Multiple of 77858 and 77878?

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 77858 and 77878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77858 and 77878, than apply into the LCM equation.

GCF(77858,77878) = 2
LCM(77858,77878) = ( 77858 × 77878) / 2
LCM(77858,77878) = 6063425324 / 2
LCM(77858,77878) = 3031712662

Least Common Multiple (LCM) of 77858 and 77878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77858 and 77878. First we will calculate the prime factors of 77858 and 77878.

Prime Factorization of 77858

Prime Factorization of 77878

Now multiplying the highest exponent prime factors to calculate the LCM of 77858 and 77878.

LCM(77858,77878) = 2¹ × 11¹ × 3539¹ × 23¹ × 1693¹
LCM(77858,77878) = 3031712662