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What is the Least Common Multiple of 3897 and 3907?

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 3897 and 3907 is 15225579.

LCM(3897,3907) = 15225579

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Least Common Multiple of 3897 and 3907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3897 and 3907, than apply into the LCM equation.

GCF(3897,3907) = 1
LCM(3897,3907) = ( 3897 × 3907) / 1
LCM(3897,3907) = 15225579 / 1
LCM(3897,3907) = 15225579

Least Common Multiple (LCM) of 3897 and 3907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3897 and 3907. First we will calculate the prime factors of 3897 and 3907.

Prime Factorization of 3897

Prime factors of 3897 are 3, 433. Prime factorization of 3897 in exponential form is:

3897 = 32 × 4331

Prime Factorization of 3907

Prime factors of 3907 are 3907. Prime factorization of 3907 in exponential form is:

3907 = 39071

Now multiplying the highest exponent prime factors to calculate the LCM of 3897 and 3907.

LCM(3897,3907) = 32 × 4331 × 39071
LCM(3897,3907) = 15225579