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What is the Least Common Multiple of 55114 and 55122?

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 55122 is 1518996954.

LCM(55114,55122) = 1518996954

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Least Common Multiple of 55114 and 55122 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 55122, than apply into the LCM equation.

GCF(55114,55122) = 2
LCM(55114,55122) = ( 55114 × 55122) / 2
LCM(55114,55122) = 3037993908 / 2
LCM(55114,55122) = 1518996954

Least Common Multiple (LCM) of 55114 and 55122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55114 and 55122. First we will calculate the prime factors of 55114 and 55122.

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 55122

Prime factors of 55122 are 2, 3, 9187. Prime factorization of 55122 in exponential form is:

55122 = 21 × 31 × 91871

Now multiplying the highest exponent prime factors to calculate the LCM of 55114 and 55122.

LCM(55114,55122) = 21 × 171 × 16211 × 31 × 91871
LCM(55114,55122) = 1518996954