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What is the Least Common Multiple of 56084 and 56101?

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 56084 and 56101 is 3146368484.

LCM(56084,56101) = 3146368484

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Least Common Multiple of 56084 and 56101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56084 and 56101, than apply into the LCM equation.

GCF(56084,56101) = 1
LCM(56084,56101) = ( 56084 × 56101) / 1
LCM(56084,56101) = 3146368484 / 1
LCM(56084,56101) = 3146368484

Least Common Multiple (LCM) of 56084 and 56101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56084 and 56101. First we will calculate the prime factors of 56084 and 56101.

Prime Factorization of 56084

Prime factors of 56084 are 2, 7, 2003. Prime factorization of 56084 in exponential form is:

56084 = 22 × 71 × 20031

Prime Factorization of 56101

Prime factors of 56101 are 56101. Prime factorization of 56101 in exponential form is:

56101 = 561011

Now multiplying the highest exponent prime factors to calculate the LCM of 56084 and 56101.

LCM(56084,56101) = 22 × 71 × 20031 × 561011
LCM(56084,56101) = 3146368484