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What is the Least Common Multiple of 4862 and 4871?

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 4862 and 4871 is 23682802.

LCM(4862,4871) = 23682802

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Least Common Multiple of 4862 and 4871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4862 and 4871, than apply into the LCM equation.

GCF(4862,4871) = 1
LCM(4862,4871) = ( 4862 × 4871) / 1
LCM(4862,4871) = 23682802 / 1
LCM(4862,4871) = 23682802

Least Common Multiple (LCM) of 4862 and 4871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4862 and 4871. First we will calculate the prime factors of 4862 and 4871.

Prime Factorization of 4862

Prime factors of 4862 are 2, 11, 13, 17. Prime factorization of 4862 in exponential form is:

4862 = 21 × 111 × 131 × 171

Prime Factorization of 4871

Prime factors of 4871 are 4871. Prime factorization of 4871 in exponential form is:

4871 = 48711

Now multiplying the highest exponent prime factors to calculate the LCM of 4862 and 4871.

LCM(4862,4871) = 21 × 111 × 131 × 171 × 48711
LCM(4862,4871) = 23682802