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What is the Least Common Multiple of 55013 and 55027?

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 55027 is 432457193.

LCM(55013,55027) = 432457193

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Least Common Multiple of 55013 and 55027 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 55027, than apply into the LCM equation.

GCF(55013,55027) = 7
LCM(55013,55027) = ( 55013 × 55027) / 7
LCM(55013,55027) = 3027200351 / 7
LCM(55013,55027) = 432457193

Least Common Multiple (LCM) of 55013 and 55027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55013 and 55027. First we will calculate the prime factors of 55013 and 55027.

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 55027

Prime factors of 55027 are 7, 1123. Prime factorization of 55027 in exponential form is:

55027 = 72 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 55013 and 55027.

LCM(55013,55027) = 72 × 291 × 2711 × 11231
LCM(55013,55027) = 432457193