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What is the Least Common Multiple of 28212 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 (LCM) of 28212 and 28230 is 132737460.

LCM(28212,28230) = 132737460

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Least Common Multiple of 28212 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 28212 and 28230, than apply into the LCM equation.

GCF(28212,28230) = 6
LCM(28212,28230) = ( 28212 × 28230) / 6
LCM(28212,28230) = 796424760 / 6
LCM(28212,28230) = 132737460

Least Common Multiple (LCM) of 28212 and 28230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28212 and 28230. First we will calculate the prime factors of 28212 and 28230.

Prime Factorization of 28212

Prime factors of 28212 are 2, 3, 2351. Prime factorization of 28212 in exponential form is:

28212 = 22 × 31 × 23511

Prime Factorization of 28230

Prime factors of 28230 are 2, 3, 5, 941. Prime factorization of 28230 in exponential form is:

28230 = 21 × 31 × 51 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 28212 and 28230.

LCM(28212,28230) = 22 × 31 × 23511 × 51 × 9411
LCM(28212,28230) = 132737460