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What is the Least Common Multiple of 4815 and 4820?

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 4820 is 4641660.

LCM(4815,4820) = 4641660

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Least Common Multiple of 4815 and 4820 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 4820, than apply into the LCM equation.

GCF(4815,4820) = 5
LCM(4815,4820) = ( 4815 × 4820) / 5
LCM(4815,4820) = 23208300 / 5
LCM(4815,4820) = 4641660

Least Common Multiple (LCM) of 4815 and 4820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4815 and 4820. First we will calculate the prime factors of 4815 and 4820.

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 4820

Prime factors of 4820 are 2, 5, 241. Prime factorization of 4820 in exponential form is:

4820 = 22 × 51 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 4815 and 4820.

LCM(4815,4820) = 32 × 51 × 1071 × 22 × 2411
LCM(4815,4820) = 4641660