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What is the Least Common Multiple of 55109 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 55109 and 55127 is 3037993843.

LCM(55109,55127) = 3037993843

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Least Common Multiple of 55109 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 55109 and 55127, than apply into the LCM equation.

GCF(55109,55127) = 1
LCM(55109,55127) = ( 55109 × 55127) / 1
LCM(55109,55127) = 3037993843 / 1
LCM(55109,55127) = 3037993843

Least Common Multiple (LCM) of 55109 and 55127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55109 and 55127. First we will calculate the prime factors of 55109 and 55127.

Prime Factorization of 55109

Prime factors of 55109 are 55109. Prime factorization of 55109 in exponential form is:

55109 = 551091

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 55109 and 55127.

LCM(55109,55127) = 551091 × 551271
LCM(55109,55127) = 3037993843