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What is the Least Common Multiple of 55982 and 55999?

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 55982 and 55999 is 3134936018.

LCM(55982,55999) = 3134936018

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Least Common Multiple of 55982 and 55999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55982 and 55999, than apply into the LCM equation.

GCF(55982,55999) = 1
LCM(55982,55999) = ( 55982 × 55999) / 1
LCM(55982,55999) = 3134936018 / 1
LCM(55982,55999) = 3134936018

Least Common Multiple (LCM) of 55982 and 55999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55982 and 55999. First we will calculate the prime factors of 55982 and 55999.

Prime Factorization of 55982

Prime factors of 55982 are 2, 23, 1217. Prime factorization of 55982 in exponential form is:

55982 = 21 × 231 × 12171

Prime Factorization of 55999

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

55999 = 291 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 55982 and 55999.

LCM(55982,55999) = 21 × 231 × 12171 × 291 × 19311
LCM(55982,55999) = 3134936018