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What is the Least Common Multiple of 3894 and 3901?

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 3894 and 3901 is 15190494.

LCM(3894,3901) = 15190494

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Least Common Multiple of 3894 and 3901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3894 and 3901, than apply into the LCM equation.

GCF(3894,3901) = 1
LCM(3894,3901) = ( 3894 × 3901) / 1
LCM(3894,3901) = 15190494 / 1
LCM(3894,3901) = 15190494

Least Common Multiple (LCM) of 3894 and 3901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3894 and 3901. First we will calculate the prime factors of 3894 and 3901.

Prime Factorization of 3894

Prime factors of 3894 are 2, 3, 11, 59. Prime factorization of 3894 in exponential form is:

3894 = 21 × 31 × 111 × 591

Prime Factorization of 3901

Prime factors of 3901 are 47, 83. Prime factorization of 3901 in exponential form is:

3901 = 471 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 3894 and 3901.

LCM(3894,3901) = 21 × 31 × 111 × 591 × 471 × 831
LCM(3894,3901) = 15190494