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What is the Least Common Multiple of 4876 and 4890?

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 4876 and 4890 is 11921820.

LCM(4876,4890) = 11921820

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Least Common Multiple of 4876 and 4890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4876 and 4890, than apply into the LCM equation.

GCF(4876,4890) = 2
LCM(4876,4890) = ( 4876 × 4890) / 2
LCM(4876,4890) = 23843640 / 2
LCM(4876,4890) = 11921820

Least Common Multiple (LCM) of 4876 and 4890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4876 and 4890. First we will calculate the prime factors of 4876 and 4890.

Prime Factorization of 4876

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

4876 = 22 × 231 × 531

Prime Factorization of 4890

Prime factors of 4890 are 2, 3, 5, 163. Prime factorization of 4890 in exponential form is:

4890 = 21 × 31 × 51 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4876 and 4890.

LCM(4876,4890) = 22 × 231 × 531 × 31 × 51 × 1631
LCM(4876,4890) = 11921820