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What is the Least Common Multiple of 4857 and 4870?

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 4857 and 4870 is 23653590.

LCM(4857,4870) = 23653590

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Least Common Multiple of 4857 and 4870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4857 and 4870, than apply into the LCM equation.

GCF(4857,4870) = 1
LCM(4857,4870) = ( 4857 × 4870) / 1
LCM(4857,4870) = 23653590 / 1
LCM(4857,4870) = 23653590

Least Common Multiple (LCM) of 4857 and 4870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4857 and 4870. First we will calculate the prime factors of 4857 and 4870.

Prime Factorization of 4857

Prime factors of 4857 are 3, 1619. Prime factorization of 4857 in exponential form is:

4857 = 31 × 16191

Prime Factorization of 4870

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

4870 = 21 × 51 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 4857 and 4870.

LCM(4857,4870) = 31 × 16191 × 21 × 51 × 4871
LCM(4857,4870) = 23653590