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What is the Least Common Multiple of 6875 and 6894?

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 6875 and 6894 is 47396250.

LCM(6875,6894) = 47396250

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Least Common Multiple of 6875 and 6894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6875 and 6894, than apply into the LCM equation.

GCF(6875,6894) = 1
LCM(6875,6894) = ( 6875 × 6894) / 1
LCM(6875,6894) = 47396250 / 1
LCM(6875,6894) = 47396250

Least Common Multiple (LCM) of 6875 and 6894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6875 and 6894. First we will calculate the prime factors of 6875 and 6894.

Prime Factorization of 6875

Prime factors of 6875 are 5, 11. Prime factorization of 6875 in exponential form is:

6875 = 54 × 111

Prime Factorization of 6894

Prime factors of 6894 are 2, 3, 383. Prime factorization of 6894 in exponential form is:

6894 = 21 × 32 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 6875 and 6894.

LCM(6875,6894) = 54 × 111 × 21 × 32 × 3831
LCM(6875,6894) = 47396250