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What is the Least Common Multiple of 55106 and 55119?

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 55106 and 55119 is 3037387614.

LCM(55106,55119) = 3037387614

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Least Common Multiple of 55106 and 55119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55106 and 55119, than apply into the LCM equation.

GCF(55106,55119) = 1
LCM(55106,55119) = ( 55106 × 55119) / 1
LCM(55106,55119) = 3037387614 / 1
LCM(55106,55119) = 3037387614

Least Common Multiple (LCM) of 55106 and 55119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55106 and 55119. First we will calculate the prime factors of 55106 and 55119.

Prime Factorization of 55106

Prime factors of 55106 are 2, 59, 467. Prime factorization of 55106 in exponential form is:

55106 = 21 × 591 × 4671

Prime Factorization of 55119

Prime factors of 55119 are 3, 19, 967. Prime factorization of 55119 in exponential form is:

55119 = 31 × 191 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 55106 and 55119.

LCM(55106,55119) = 21 × 591 × 4671 × 31 × 191 × 9671
LCM(55106,55119) = 3037387614