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What is the Least Common Multiple of 28215 and 28227?

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 28215 and 28227 is 265474935.

LCM(28215,28227) = 265474935

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Least Common Multiple of 28215 and 28227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28215 and 28227, than apply into the LCM equation.

GCF(28215,28227) = 3
LCM(28215,28227) = ( 28215 × 28227) / 3
LCM(28215,28227) = 796424805 / 3
LCM(28215,28227) = 265474935

Least Common Multiple (LCM) of 28215 and 28227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28215 and 28227. First we will calculate the prime factors of 28215 and 28227.

Prime Factorization of 28215

Prime factors of 28215 are 3, 5, 11, 19. Prime factorization of 28215 in exponential form is:

28215 = 33 × 51 × 111 × 191

Prime Factorization of 28227

Prime factors of 28227 are 3, 97. Prime factorization of 28227 in exponential form is:

28227 = 31 × 972

Now multiplying the highest exponent prime factors to calculate the LCM of 28215 and 28227.

LCM(28215,28227) = 33 × 51 × 111 × 191 × 972
LCM(28215,28227) = 265474935