What is the Least Common Multiple of 28214 and 28230?

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 28214 and 28230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28214 and 28230, than apply into the LCM equation.

GCF(28214,28230) = 2
LCM(28214,28230) = ( 28214 × 28230) / 2
LCM(28214,28230) = 796481220 / 2
LCM(28214,28230) = 398240610

Least Common Multiple (LCM) of 28214 and 28230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28214 and 28230. First we will calculate the prime factors of 28214 and 28230.

Prime Factorization of 28214

Prime Factorization of 28230

Now multiplying the highest exponent prime factors to calculate the LCM of 28214 and 28230.

LCM(28214,28230) = 2¹ × 14107¹ × 3¹ × 5¹ × 941¹
LCM(28214,28230) = 398240610