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What is the Least Common Multiple of 4852 and 4869?

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 4852 and 4869 is 23624388.

LCM(4852,4869) = 23624388

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Least Common Multiple of 4852 and 4869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4852 and 4869, than apply into the LCM equation.

GCF(4852,4869) = 1
LCM(4852,4869) = ( 4852 × 4869) / 1
LCM(4852,4869) = 23624388 / 1
LCM(4852,4869) = 23624388

Least Common Multiple (LCM) of 4852 and 4869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4852 and 4869. First we will calculate the prime factors of 4852 and 4869.

Prime Factorization of 4852

Prime factors of 4852 are 2, 1213. Prime factorization of 4852 in exponential form is:

4852 = 22 × 12131

Prime Factorization of 4869

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

4869 = 32 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 4852 and 4869.

LCM(4852,4869) = 22 × 12131 × 32 × 5411
LCM(4852,4869) = 23624388