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What is the Least Common Multiple of 55999 and 56012?

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 55999 and 56012 is 3136615988.

LCM(55999,56012) = 3136615988

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Least Common Multiple of 55999 and 56012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55999 and 56012, than apply into the LCM equation.

GCF(55999,56012) = 1
LCM(55999,56012) = ( 55999 × 56012) / 1
LCM(55999,56012) = 3136615988 / 1
LCM(55999,56012) = 3136615988

Least Common Multiple (LCM) of 55999 and 56012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55999 and 56012. First we will calculate the prime factors of 55999 and 56012.

Prime Factorization of 55999

Prime factors of 55999 are 29, 1931. Prime factorization of 55999 in exponential form is:

55999 = 291 × 19311

Prime Factorization of 56012

Prime factors of 56012 are 2, 11, 19, 67. Prime factorization of 56012 in exponential form is:

56012 = 22 × 111 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 55999 and 56012.

LCM(55999,56012) = 291 × 19311 × 22 × 111 × 191 × 671
LCM(55999,56012) = 3136615988