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What is the Least Common Multiple of 4870 and 4883?

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 4870 and 4883 is 23780210.

LCM(4870,4883) = 23780210

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Least Common Multiple of 4870 and 4883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4870 and 4883, than apply into the LCM equation.

GCF(4870,4883) = 1
LCM(4870,4883) = ( 4870 × 4883) / 1
LCM(4870,4883) = 23780210 / 1
LCM(4870,4883) = 23780210

Least Common Multiple (LCM) of 4870 and 4883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4870 and 4883. First we will calculate the prime factors of 4870 and 4883.

Prime Factorization of 4870

Prime factors of 4870 are 2, 5, 487. Prime factorization of 4870 in exponential form is:

4870 = 21 × 51 × 4871

Prime Factorization of 4883

Prime factors of 4883 are 19, 257. Prime factorization of 4883 in exponential form is:

4883 = 191 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 4870 and 4883.

LCM(4870,4883) = 21 × 51 × 4871 × 191 × 2571
LCM(4870,4883) = 23780210