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What is the Least Common Multiple of 27228 and 27244?

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 27228 and 27244 is 185449908.

LCM(27228,27244) = 185449908

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Least Common Multiple of 27228 and 27244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27228 and 27244, than apply into the LCM equation.

GCF(27228,27244) = 4
LCM(27228,27244) = ( 27228 × 27244) / 4
LCM(27228,27244) = 741799632 / 4
LCM(27228,27244) = 185449908

Least Common Multiple (LCM) of 27228 and 27244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27228 and 27244. First we will calculate the prime factors of 27228 and 27244.

Prime Factorization of 27228

Prime factors of 27228 are 2, 3, 2269. Prime factorization of 27228 in exponential form is:

27228 = 22 × 31 × 22691

Prime Factorization of 27244

Prime factors of 27244 are 2, 7, 139. Prime factorization of 27244 in exponential form is:

27244 = 22 × 72 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 27228 and 27244.

LCM(27228,27244) = 22 × 31 × 22691 × 72 × 1391
LCM(27228,27244) = 185449908