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What is the Least Common Multiple of 55003 and 55020?

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 55003 and 55020 is 3026265060.

LCM(55003,55020) = 3026265060

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Least Common Multiple of 55003 and 55020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55003 and 55020, than apply into the LCM equation.

GCF(55003,55020) = 1
LCM(55003,55020) = ( 55003 × 55020) / 1
LCM(55003,55020) = 3026265060 / 1
LCM(55003,55020) = 3026265060

Least Common Multiple (LCM) of 55003 and 55020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55003 and 55020. First we will calculate the prime factors of 55003 and 55020.

Prime Factorization of 55003

Prime factors of 55003 are 13, 4231. Prime factorization of 55003 in exponential form is:

55003 = 131 × 42311

Prime Factorization of 55020

Prime factors of 55020 are 2, 3, 5, 7, 131. Prime factorization of 55020 in exponential form is:

55020 = 22 × 31 × 51 × 71 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 55003 and 55020.

LCM(55003,55020) = 131 × 42311 × 22 × 31 × 51 × 71 × 1311
LCM(55003,55020) = 3026265060