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What is the Least Common Multiple of 4869 and 4876?

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 4869 and 4876 is 23741244.

LCM(4869,4876) = 23741244

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Least Common Multiple of 4869 and 4876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4869 and 4876, than apply into the LCM equation.

GCF(4869,4876) = 1
LCM(4869,4876) = ( 4869 × 4876) / 1
LCM(4869,4876) = 23741244 / 1
LCM(4869,4876) = 23741244

Least Common Multiple (LCM) of 4869 and 4876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4869 and 4876. First we will calculate the prime factors of 4869 and 4876.

Prime Factorization of 4869

Prime factors of 4869 are 3, 541. Prime factorization of 4869 in exponential form is:

4869 = 32 × 5411

Prime Factorization of 4876

Prime factors of 4876 are 2, 23, 53. Prime factorization of 4876 in exponential form is:

4876 = 22 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 4869 and 4876.

LCM(4869,4876) = 32 × 5411 × 22 × 231 × 531
LCM(4869,4876) = 23741244