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What is the Least Common Multiple of 7878 and 7894?

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 7878 and 7894 is 31094466.

LCM(7878,7894) = 31094466

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Least Common Multiple of 7878 and 7894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7878 and 7894, than apply into the LCM equation.

GCF(7878,7894) = 2
LCM(7878,7894) = ( 7878 × 7894) / 2
LCM(7878,7894) = 62188932 / 2
LCM(7878,7894) = 31094466

Least Common Multiple (LCM) of 7878 and 7894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7878 and 7894. First we will calculate the prime factors of 7878 and 7894.

Prime Factorization of 7878

Prime factors of 7878 are 2, 3, 13, 101. Prime factorization of 7878 in exponential form is:

7878 = 21 × 31 × 131 × 1011

Prime Factorization of 7894

Prime factors of 7894 are 2, 3947. Prime factorization of 7894 in exponential form is:

7894 = 21 × 39471

Now multiplying the highest exponent prime factors to calculate the LCM of 7878 and 7894.

LCM(7878,7894) = 21 × 31 × 131 × 1011 × 39471
LCM(7878,7894) = 31094466