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What is the Least Common Multiple of 55114 and 55126?

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 55114 and 55126 is 1519107182.

LCM(55114,55126) = 1519107182

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Least Common Multiple of 55114 and 55126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55114 and 55126, than apply into the LCM equation.

GCF(55114,55126) = 2
LCM(55114,55126) = ( 55114 × 55126) / 2
LCM(55114,55126) = 3038214364 / 2
LCM(55114,55126) = 1519107182

Least Common Multiple (LCM) of 55114 and 55126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55114 and 55126. First we will calculate the prime factors of 55114 and 55126.

Prime Factorization of 55114

Prime factors of 55114 are 2, 17, 1621. Prime factorization of 55114 in exponential form is:

55114 = 21 × 171 × 16211

Prime Factorization of 55126

Prime factors of 55126 are 2, 43, 641. Prime factorization of 55126 in exponential form is:

55126 = 21 × 431 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 55114 and 55126.

LCM(55114,55126) = 21 × 171 × 16211 × 431 × 6411
LCM(55114,55126) = 1519107182