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What is the Least Common Multiple of 4815 and 4827?

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 4815 and 4827 is 7747335.

LCM(4815,4827) = 7747335

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Least Common Multiple of 4815 and 4827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4815 and 4827, than apply into the LCM equation.

GCF(4815,4827) = 3
LCM(4815,4827) = ( 4815 × 4827) / 3
LCM(4815,4827) = 23242005 / 3
LCM(4815,4827) = 7747335

Least Common Multiple (LCM) of 4815 and 4827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4815 and 4827. First we will calculate the prime factors of 4815 and 4827.

Prime Factorization of 4815

Prime factors of 4815 are 3, 5, 107. Prime factorization of 4815 in exponential form is:

4815 = 32 × 51 × 1071

Prime Factorization of 4827

Prime factors of 4827 are 3, 1609. Prime factorization of 4827 in exponential form is:

4827 = 31 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 4815 and 4827.

LCM(4815,4827) = 32 × 51 × 1071 × 16091
LCM(4815,4827) = 7747335