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What is the Least Common Multiple of 4869 and 4874?

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 4874 is 23731506.

LCM(4869,4874) = 23731506

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Least Common Multiple of 4869 and 4874 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 4874, than apply into the LCM equation.

GCF(4869,4874) = 1
LCM(4869,4874) = ( 4869 × 4874) / 1
LCM(4869,4874) = 23731506 / 1
LCM(4869,4874) = 23731506

Least Common Multiple (LCM) of 4869 and 4874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4869 and 4874. First we will calculate the prime factors of 4869 and 4874.

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 4874

Prime factors of 4874 are 2, 2437. Prime factorization of 4874 in exponential form is:

4874 = 21 × 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 4869 and 4874.

LCM(4869,4874) = 32 × 5411 × 21 × 24371
LCM(4869,4874) = 23731506