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What is the Least Common Multiple of 55013 and 55019?

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 55013 and 55019 is 3026760247.

LCM(55013,55019) = 3026760247

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Least Common Multiple of 55013 and 55019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55013 and 55019, than apply into the LCM equation.

GCF(55013,55019) = 1
LCM(55013,55019) = ( 55013 × 55019) / 1
LCM(55013,55019) = 3026760247 / 1
LCM(55013,55019) = 3026760247

Least Common Multiple (LCM) of 55013 and 55019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55013 and 55019. First we will calculate the prime factors of 55013 and 55019.

Prime Factorization of 55013

Prime factors of 55013 are 7, 29, 271. Prime factorization of 55013 in exponential form is:

55013 = 71 × 291 × 2711

Prime Factorization of 55019

Prime factors of 55019 are 37, 1487. Prime factorization of 55019 in exponential form is:

55019 = 371 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 55013 and 55019.

LCM(55013,55019) = 71 × 291 × 2711 × 371 × 14871
LCM(55013,55019) = 3026760247