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What is the Least Common Multiple of 28227 and 28243?

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 28227 and 28243 is 797215161.

LCM(28227,28243) = 797215161

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Least Common Multiple of 28227 and 28243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28227 and 28243, than apply into the LCM equation.

GCF(28227,28243) = 1
LCM(28227,28243) = ( 28227 × 28243) / 1
LCM(28227,28243) = 797215161 / 1
LCM(28227,28243) = 797215161

Least Common Multiple (LCM) of 28227 and 28243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28227 and 28243. First we will calculate the prime factors of 28227 and 28243.

Prime Factorization of 28227

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

28227 = 31 × 972

Prime Factorization of 28243

Prime factors of 28243 are 61, 463. Prime factorization of 28243 in exponential form is:

28243 = 611 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 28227 and 28243.

LCM(28227,28243) = 31 × 972 × 611 × 4631
LCM(28227,28243) = 797215161