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What is the Least Common Multiple of 6862 and 6872?

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 6872 is 23577832.

LCM(6862,6872) = 23577832

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Least Common Multiple of 6862 and 6872 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 6872, than apply into the LCM equation.

GCF(6862,6872) = 2
LCM(6862,6872) = ( 6862 × 6872) / 2
LCM(6862,6872) = 47155664 / 2
LCM(6862,6872) = 23577832

Least Common Multiple (LCM) of 6862 and 6872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6862 and 6872. First we will calculate the prime factors of 6862 and 6872.

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 6872

Prime factors of 6872 are 2, 859. Prime factorization of 6872 in exponential form is:

6872 = 23 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 6862 and 6872.

LCM(6862,6872) = 23 × 471 × 731 × 8591
LCM(6862,6872) = 23577832