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What is the Least Common Multiple of 55081 and 55100?

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 55081 and 55100 is 159734900.

LCM(55081,55100) = 159734900

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Least Common Multiple of 55081 and 55100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55081 and 55100, than apply into the LCM equation.

GCF(55081,55100) = 19
LCM(55081,55100) = ( 55081 × 55100) / 19
LCM(55081,55100) = 3034963100 / 19
LCM(55081,55100) = 159734900

Least Common Multiple (LCM) of 55081 and 55100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55081 and 55100. First we will calculate the prime factors of 55081 and 55100.

Prime Factorization of 55081

Prime factors of 55081 are 13, 19, 223. Prime factorization of 55081 in exponential form is:

55081 = 131 × 191 × 2231

Prime Factorization of 55100

Prime factors of 55100 are 2, 5, 19, 29. Prime factorization of 55100 in exponential form is:

55100 = 22 × 52 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 55081 and 55100.

LCM(55081,55100) = 131 × 191 × 2231 × 22 × 52 × 291
LCM(55081,55100) = 159734900