What is the Least Common Multiple of 71878 and 71889?

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 71878 and 71889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71878 and 71889, than apply into the LCM equation.

GCF(71878,71889) = 1
LCM(71878,71889) = ( 71878 × 71889) / 1
LCM(71878,71889) = 5167237542 / 1
LCM(71878,71889) = 5167237542

Least Common Multiple (LCM) of 71878 and 71889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71878 and 71889. First we will calculate the prime factors of 71878 and 71889.

Prime Factorization of 71878

Prime Factorization of 71889

Now multiplying the highest exponent prime factors to calculate the LCM of 71878 and 71889.

LCM(71878,71889) = 2¹ × 83¹ × 433¹ × 3¹ × 31¹ × 773¹
LCM(71878,71889) = 5167237542