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What is the Least Common Multiple of 4867 and 4885?

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 4867 and 4885 is 23775295.

LCM(4867,4885) = 23775295

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Least Common Multiple of 4867 and 4885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4867 and 4885, than apply into the LCM equation.

GCF(4867,4885) = 1
LCM(4867,4885) = ( 4867 × 4885) / 1
LCM(4867,4885) = 23775295 / 1
LCM(4867,4885) = 23775295

Least Common Multiple (LCM) of 4867 and 4885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4867 and 4885. First we will calculate the prime factors of 4867 and 4885.

Prime Factorization of 4867

Prime factors of 4867 are 31, 157. Prime factorization of 4867 in exponential form is:

4867 = 311 × 1571

Prime Factorization of 4885

Prime factors of 4885 are 5, 977. Prime factorization of 4885 in exponential form is:

4885 = 51 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 4867 and 4885.

LCM(4867,4885) = 311 × 1571 × 51 × 9771
LCM(4867,4885) = 23775295