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What is the Least Common Multiple of 6858 and 6864?

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 6858 and 6864 is 7845552.

LCM(6858,6864) = 7845552

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Least Common Multiple of 6858 and 6864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6858 and 6864, than apply into the LCM equation.

GCF(6858,6864) = 6
LCM(6858,6864) = ( 6858 × 6864) / 6
LCM(6858,6864) = 47073312 / 6
LCM(6858,6864) = 7845552

Least Common Multiple (LCM) of 6858 and 6864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6858 and 6864. First we will calculate the prime factors of 6858 and 6864.

Prime Factorization of 6858

Prime factors of 6858 are 2, 3, 127. Prime factorization of 6858 in exponential form is:

6858 = 21 × 33 × 1271

Prime Factorization of 6864

Prime factors of 6864 are 2, 3, 11, 13. Prime factorization of 6864 in exponential form is:

6864 = 24 × 31 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 6858 and 6864.

LCM(6858,6864) = 24 × 33 × 1271 × 111 × 131
LCM(6858,6864) = 7845552