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What is the Least Common Multiple of 55099 and 55107?

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 55107 is 3036340593.

LCM(55099,55107) = 3036340593

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Least Common Multiple of 55099 and 55107 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 55107, than apply into the LCM equation.

GCF(55099,55107) = 1
LCM(55099,55107) = ( 55099 × 55107) / 1
LCM(55099,55107) = 3036340593 / 1
LCM(55099,55107) = 3036340593

Least Common Multiple (LCM) of 55099 and 55107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55099 and 55107. First we will calculate the prime factors of 55099 and 55107.

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 55107

Prime factors of 55107 are 3, 13, 157. Prime factorization of 55107 in exponential form is:

55107 = 33 × 131 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 55099 and 55107.

LCM(55099,55107) = 111 × 50091 × 33 × 131 × 1571
LCM(55099,55107) = 3036340593