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What is the Least Common Multiple of 55105 and 55113?

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 55105 and 55113 is 3037001865.

LCM(55105,55113) = 3037001865

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Least Common Multiple of 55105 and 55113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55105 and 55113, than apply into the LCM equation.

GCF(55105,55113) = 1
LCM(55105,55113) = ( 55105 × 55113) / 1
LCM(55105,55113) = 3037001865 / 1
LCM(55105,55113) = 3037001865

Least Common Multiple (LCM) of 55105 and 55113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55105 and 55113. First we will calculate the prime factors of 55105 and 55113.

Prime Factorization of 55105

Prime factors of 55105 are 5, 103, 107. Prime factorization of 55105 in exponential form is:

55105 = 51 × 1031 × 1071

Prime Factorization of 55113

Prime factors of 55113 are 3, 18371. Prime factorization of 55113 in exponential form is:

55113 = 31 × 183711

Now multiplying the highest exponent prime factors to calculate the LCM of 55105 and 55113.

LCM(55105,55113) = 51 × 1031 × 1071 × 31 × 183711
LCM(55105,55113) = 3037001865