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What is the Least Common Multiple of 4854 and 4858?

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 4854 and 4858 is 11790366.

LCM(4854,4858) = 11790366

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Least Common Multiple of 4854 and 4858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4854 and 4858, than apply into the LCM equation.

GCF(4854,4858) = 2
LCM(4854,4858) = ( 4854 × 4858) / 2
LCM(4854,4858) = 23580732 / 2
LCM(4854,4858) = 11790366

Least Common Multiple (LCM) of 4854 and 4858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4854 and 4858. First we will calculate the prime factors of 4854 and 4858.

Prime Factorization of 4854

Prime factors of 4854 are 2, 3, 809. Prime factorization of 4854 in exponential form is:

4854 = 21 × 31 × 8091

Prime Factorization of 4858

Prime factors of 4858 are 2, 7, 347. Prime factorization of 4858 in exponential form is:

4858 = 21 × 71 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 4854 and 4858.

LCM(4854,4858) = 21 × 31 × 8091 × 71 × 3471
LCM(4854,4858) = 11790366