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What is the Least Common Multiple of 31005 and 31011?

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 31005 and 31011 is 320498685.

LCM(31005,31011) = 320498685

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Least Common Multiple of 31005 and 31011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31005 and 31011, than apply into the LCM equation.

GCF(31005,31011) = 3
LCM(31005,31011) = ( 31005 × 31011) / 3
LCM(31005,31011) = 961496055 / 3
LCM(31005,31011) = 320498685

Least Common Multiple (LCM) of 31005 and 31011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31005 and 31011. First we will calculate the prime factors of 31005 and 31011.

Prime Factorization of 31005

Prime factors of 31005 are 3, 5, 13, 53. Prime factorization of 31005 in exponential form is:

31005 = 32 × 51 × 131 × 531

Prime Factorization of 31011

Prime factors of 31011 are 3, 10337. Prime factorization of 31011 in exponential form is:

31011 = 31 × 103371

Now multiplying the highest exponent prime factors to calculate the LCM of 31005 and 31011.

LCM(31005,31011) = 32 × 51 × 131 × 531 × 103371
LCM(31005,31011) = 320498685