What is the Least Common Multiple of 28074 and 28086?

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 28074 and 28086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28074 and 28086, than apply into the LCM equation.

GCF(28074,28086) = 6
LCM(28074,28086) = ( 28074 × 28086) / 6
LCM(28074,28086) = 788486364 / 6
LCM(28074,28086) = 131414394

Least Common Multiple (LCM) of 28074 and 28086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28074 and 28086. First we will calculate the prime factors of 28074 and 28086.

Prime Factorization of 28074

Prime Factorization of 28086

Now multiplying the highest exponent prime factors to calculate the LCM of 28074 and 28086.

LCM(28074,28086) = 2¹ × 3¹ × 4679¹ × 31¹ × 151¹
LCM(28074,28086) = 131414394