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What is the Least Common Multiple of 60904 and 60913?

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 60904 and 60913 is 3709845352.

LCM(60904,60913) = 3709845352

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Least Common Multiple of 60904 and 60913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60904 and 60913, than apply into the LCM equation.

GCF(60904,60913) = 1
LCM(60904,60913) = ( 60904 × 60913) / 1
LCM(60904,60913) = 3709845352 / 1
LCM(60904,60913) = 3709845352

Least Common Multiple (LCM) of 60904 and 60913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60904 and 60913. First we will calculate the prime factors of 60904 and 60913.

Prime Factorization of 60904

Prime factors of 60904 are 2, 23, 331. Prime factorization of 60904 in exponential form is:

60904 = 23 × 231 × 3311

Prime Factorization of 60913

Prime factors of 60913 are 60913. Prime factorization of 60913 in exponential form is:

60913 = 609131

Now multiplying the highest exponent prime factors to calculate the LCM of 60904 and 60913.

LCM(60904,60913) = 23 × 231 × 3311 × 609131
LCM(60904,60913) = 3709845352