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What is the Least Common Multiple of 55993 and 56008?

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 55993 and 56008 is 3136055944.

LCM(55993,56008) = 3136055944

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Least Common Multiple of 55993 and 56008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55993 and 56008, than apply into the LCM equation.

GCF(55993,56008) = 1
LCM(55993,56008) = ( 55993 × 56008) / 1
LCM(55993,56008) = 3136055944 / 1
LCM(55993,56008) = 3136055944

Least Common Multiple (LCM) of 55993 and 56008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55993 and 56008. First we will calculate the prime factors of 55993 and 56008.

Prime Factorization of 55993

Prime factors of 55993 are 7, 19, 421. Prime factorization of 55993 in exponential form is:

55993 = 71 × 191 × 4211

Prime Factorization of 56008

Prime factors of 56008 are 2, 7001. Prime factorization of 56008 in exponential form is:

56008 = 23 × 70011

Now multiplying the highest exponent prime factors to calculate the LCM of 55993 and 56008.

LCM(55993,56008) = 71 × 191 × 4211 × 23 × 70011
LCM(55993,56008) = 3136055944