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What is the Least Common Multiple of 15907 and 15913?

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 15907 and 15913 is 253128091.

LCM(15907,15913) = 253128091

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Least Common Multiple of 15907 and 15913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15907 and 15913, than apply into the LCM equation.

GCF(15907,15913) = 1
LCM(15907,15913) = ( 15907 × 15913) / 1
LCM(15907,15913) = 253128091 / 1
LCM(15907,15913) = 253128091

Least Common Multiple (LCM) of 15907 and 15913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15907 and 15913. First we will calculate the prime factors of 15907 and 15913.

Prime Factorization of 15907

Prime factors of 15907 are 15907. Prime factorization of 15907 in exponential form is:

15907 = 159071

Prime Factorization of 15913

Prime factors of 15913 are 15913. Prime factorization of 15913 in exponential form is:

15913 = 159131

Now multiplying the highest exponent prime factors to calculate the LCM of 15907 and 15913.

LCM(15907,15913) = 159071 × 159131
LCM(15907,15913) = 253128091