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What is the Least Common Multiple of 4875 and 4882?

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 4875 and 4882 is 23799750.

LCM(4875,4882) = 23799750

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Least Common Multiple of 4875 and 4882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4875 and 4882, than apply into the LCM equation.

GCF(4875,4882) = 1
LCM(4875,4882) = ( 4875 × 4882) / 1
LCM(4875,4882) = 23799750 / 1
LCM(4875,4882) = 23799750

Least Common Multiple (LCM) of 4875 and 4882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4875 and 4882. First we will calculate the prime factors of 4875 and 4882.

Prime Factorization of 4875

Prime factors of 4875 are 3, 5, 13. Prime factorization of 4875 in exponential form is:

4875 = 31 × 53 × 131

Prime Factorization of 4882

Prime factors of 4882 are 2, 2441. Prime factorization of 4882 in exponential form is:

4882 = 21 × 24411

Now multiplying the highest exponent prime factors to calculate the LCM of 4875 and 4882.

LCM(4875,4882) = 31 × 53 × 131 × 21 × 24411
LCM(4875,4882) = 23799750