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What is the Least Common Multiple of 55119 and 55129?

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 55119 and 55129 is 3038655351.

LCM(55119,55129) = 3038655351

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Least Common Multiple of 55119 and 55129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55119 and 55129, than apply into the LCM equation.

GCF(55119,55129) = 1
LCM(55119,55129) = ( 55119 × 55129) / 1
LCM(55119,55129) = 3038655351 / 1
LCM(55119,55129) = 3038655351

Least Common Multiple (LCM) of 55119 and 55129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55119 and 55129. First we will calculate the prime factors of 55119 and 55129.

Prime Factorization of 55119

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

55119 = 31 × 191 × 9671

Prime Factorization of 55129

Prime factors of 55129 are 29, 1901. Prime factorization of 55129 in exponential form is:

55129 = 291 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 55119 and 55129.

LCM(55119,55129) = 31 × 191 × 9671 × 291 × 19011
LCM(55119,55129) = 3038655351