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What is the Least Common Multiple of 55991 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 55991 and 55999 is 3135440009.

LCM(55991,55999) = 3135440009

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Least Common Multiple of 55991 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 55991 and 55999, than apply into the LCM equation.

GCF(55991,55999) = 1
LCM(55991,55999) = ( 55991 × 55999) / 1
LCM(55991,55999) = 3135440009 / 1
LCM(55991,55999) = 3135440009

Least Common Multiple (LCM) of 55991 and 55999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55991 and 55999. First we will calculate the prime factors of 55991 and 55999.

Prime Factorization of 55991

Prime factors of 55991 are 13, 59, 73. Prime factorization of 55991 in exponential form is:

55991 = 131 × 591 × 731

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 55991 and 55999.

LCM(55991,55999) = 131 × 591 × 731 × 291 × 19311
LCM(55991,55999) = 3135440009