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What is the Least Common Multiple of 6862 and 6870?

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 6862 and 6870 is 23570970.

LCM(6862,6870) = 23570970

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Least Common Multiple of 6862 and 6870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6862 and 6870, than apply into the LCM equation.

GCF(6862,6870) = 2
LCM(6862,6870) = ( 6862 × 6870) / 2
LCM(6862,6870) = 47141940 / 2
LCM(6862,6870) = 23570970

Least Common Multiple (LCM) of 6862 and 6870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6862 and 6870. First we will calculate the prime factors of 6862 and 6870.

Prime Factorization of 6862

Prime factors of 6862 are 2, 47, 73. Prime factorization of 6862 in exponential form is:

6862 = 21 × 471 × 731

Prime Factorization of 6870

Prime factors of 6870 are 2, 3, 5, 229. Prime factorization of 6870 in exponential form is:

6870 = 21 × 31 × 51 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 6862 and 6870.

LCM(6862,6870) = 21 × 471 × 731 × 31 × 51 × 2291
LCM(6862,6870) = 23570970