What is the Least Common Multiple of 28014 and 28021?

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 28014 and 28021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28014 and 28021, than apply into the LCM equation.

GCF(28014,28021) = 7
LCM(28014,28021) = ( 28014 × 28021) / 7
LCM(28014,28021) = 784980294 / 7
LCM(28014,28021) = 112140042

Least Common Multiple (LCM) of 28014 and 28021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28014 and 28021. First we will calculate the prime factors of 28014 and 28021.

Prime Factorization of 28014

Prime Factorization of 28021

Now multiplying the highest exponent prime factors to calculate the LCM of 28014 and 28021.

LCM(28014,28021) = 2¹ × 3¹ × 7¹ × 23¹ × 29¹ × 4003¹
LCM(28014,28021) = 112140042