What is the Least Common Multiple of 57878 and 57889?

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 57878 and 57889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57878 and 57889, than apply into the LCM equation.

GCF(57878,57889) = 1
LCM(57878,57889) = ( 57878 × 57889) / 1
LCM(57878,57889) = 3350499542 / 1
LCM(57878,57889) = 3350499542

Least Common Multiple (LCM) of 57878 and 57889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57878 and 57889. First we will calculate the prime factors of 57878 and 57889.

Prime Factorization of 57878

Prime Factorization of 57889

Now multiplying the highest exponent prime factors to calculate the LCM of 57878 and 57889.

LCM(57878,57889) = 2¹ × 43¹ × 673¹ × 13¹ × 61¹ × 73¹
LCM(57878,57889) = 3350499542