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What is the Least Common Multiple of 70862 and 70871?

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 70862 and 70871 is 5022060802.

LCM(70862,70871) = 5022060802

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Least Common Multiple of 70862 and 70871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70862 and 70871, than apply into the LCM equation.

GCF(70862,70871) = 1
LCM(70862,70871) = ( 70862 × 70871) / 1
LCM(70862,70871) = 5022060802 / 1
LCM(70862,70871) = 5022060802

Least Common Multiple (LCM) of 70862 and 70871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70862 and 70871. First we will calculate the prime factors of 70862 and 70871.

Prime Factorization of 70862

Prime factors of 70862 are 2, 11, 3221. Prime factorization of 70862 in exponential form is:

70862 = 21 × 111 × 32211

Prime Factorization of 70871

Prime factors of 70871 are 131, 541. Prime factorization of 70871 in exponential form is:

70871 = 1311 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 70862 and 70871.

LCM(70862,70871) = 21 × 111 × 32211 × 1311 × 5411
LCM(70862,70871) = 5022060802