What is the Least Common Multiple of 28200 and 28214?

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 28200 and 28214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28200 and 28214, than apply into the LCM equation.

GCF(28200,28214) = 2
LCM(28200,28214) = ( 28200 × 28214) / 2
LCM(28200,28214) = 795634800 / 2
LCM(28200,28214) = 397817400

Least Common Multiple (LCM) of 28200 and 28214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28200 and 28214. First we will calculate the prime factors of 28200 and 28214.

Prime Factorization of 28200

Prime Factorization of 28214

Now multiplying the highest exponent prime factors to calculate the LCM of 28200 and 28214.

LCM(28200,28214) = 2³ × 3¹ × 5² × 47¹ × 14107¹
LCM(28200,28214) = 397817400