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What is the Least Common Multiple of 55010 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 55010 and 55020 is 302665020.

LCM(55010,55020) = 302665020

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Least Common Multiple of 55010 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 55010 and 55020, than apply into the LCM equation.

GCF(55010,55020) = 10
LCM(55010,55020) = ( 55010 × 55020) / 10
LCM(55010,55020) = 3026650200 / 10
LCM(55010,55020) = 302665020

Least Common Multiple (LCM) of 55010 and 55020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55010 and 55020. First we will calculate the prime factors of 55010 and 55020.

Prime Factorization of 55010

Prime factors of 55010 are 2, 5, 5501. Prime factorization of 55010 in exponential form is:

55010 = 21 × 51 × 55011

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 55010 and 55020.

LCM(55010,55020) = 22 × 51 × 55011 × 31 × 71 × 1311
LCM(55010,55020) = 302665020