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What is the Least Common Multiple of 55099 and 55118?

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 55099 and 55118 is 3036946682.

LCM(55099,55118) = 3036946682

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Least Common Multiple of 55099 and 55118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55099 and 55118, than apply into the LCM equation.

GCF(55099,55118) = 1
LCM(55099,55118) = ( 55099 × 55118) / 1
LCM(55099,55118) = 3036946682 / 1
LCM(55099,55118) = 3036946682

Least Common Multiple (LCM) of 55099 and 55118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55099 and 55118. First we will calculate the prime factors of 55099 and 55118.

Prime Factorization of 55099

Prime factors of 55099 are 11, 5009. Prime factorization of 55099 in exponential form is:

55099 = 111 × 50091

Prime Factorization of 55118

Prime factors of 55118 are 2, 7, 31, 127. Prime factorization of 55118 in exponential form is:

55118 = 21 × 71 × 311 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 55099 and 55118.

LCM(55099,55118) = 111 × 50091 × 21 × 71 × 311 × 1271
LCM(55099,55118) = 3036946682