What is the Least Common Multiple of 27878 and 27898?

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 27878 and 27898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27878 and 27898, than apply into the LCM equation.

GCF(27878,27898) = 2
LCM(27878,27898) = ( 27878 × 27898) / 2
LCM(27878,27898) = 777740444 / 2
LCM(27878,27898) = 388870222

Least Common Multiple (LCM) of 27878 and 27898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27878 and 27898. First we will calculate the prime factors of 27878 and 27898.

Prime Factorization of 27878

Prime Factorization of 27898

Now multiplying the highest exponent prime factors to calculate the LCM of 27878 and 27898.

LCM(27878,27898) = 2¹ × 53¹ × 263¹ × 13¹ × 29¹ × 37¹
LCM(27878,27898) = 388870222