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What is the Least Common Multiple of 5220 and 5227?

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 5220 and 5227 is 27284940.

LCM(5220,5227) = 27284940

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Least Common Multiple of 5220 and 5227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5220 and 5227, than apply into the LCM equation.

GCF(5220,5227) = 1
LCM(5220,5227) = ( 5220 × 5227) / 1
LCM(5220,5227) = 27284940 / 1
LCM(5220,5227) = 27284940

Least Common Multiple (LCM) of 5220 and 5227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5220 and 5227. First we will calculate the prime factors of 5220 and 5227.

Prime Factorization of 5220

Prime factors of 5220 are 2, 3, 5, 29. Prime factorization of 5220 in exponential form is:

5220 = 22 × 32 × 51 × 291

Prime Factorization of 5227

Prime factors of 5227 are 5227. Prime factorization of 5227 in exponential form is:

5227 = 52271

Now multiplying the highest exponent prime factors to calculate the LCM of 5220 and 5227.

LCM(5220,5227) = 22 × 32 × 51 × 291 × 52271
LCM(5220,5227) = 27284940