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What is the Least Common Multiple of 55113 and 55127?

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 55113 and 55127 is 3038214351.

LCM(55113,55127) = 3038214351

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Least Common Multiple of 55113 and 55127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55113 and 55127, than apply into the LCM equation.

GCF(55113,55127) = 1
LCM(55113,55127) = ( 55113 × 55127) / 1
LCM(55113,55127) = 3038214351 / 1
LCM(55113,55127) = 3038214351

Least Common Multiple (LCM) of 55113 and 55127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55113 and 55127. First we will calculate the prime factors of 55113 and 55127.

Prime Factorization of 55113

Prime factors of 55113 are 3, 18371. Prime factorization of 55113 in exponential form is:

55113 = 31 × 183711

Prime Factorization of 55127

Prime factors of 55127 are 55127. Prime factorization of 55127 in exponential form is:

55127 = 551271

Now multiplying the highest exponent prime factors to calculate the LCM of 55113 and 55127.

LCM(55113,55127) = 31 × 183711 × 551271
LCM(55113,55127) = 3038214351