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What is the Least Common Multiple of 55038 and 55055?

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 55038 and 55055 is 3030117090.

LCM(55038,55055) = 3030117090

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Least Common Multiple of 55038 and 55055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55038 and 55055, than apply into the LCM equation.

GCF(55038,55055) = 1
LCM(55038,55055) = ( 55038 × 55055) / 1
LCM(55038,55055) = 3030117090 / 1
LCM(55038,55055) = 3030117090

Least Common Multiple (LCM) of 55038 and 55055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55038 and 55055. First we will calculate the prime factors of 55038 and 55055.

Prime Factorization of 55038

Prime factors of 55038 are 2, 3, 9173. Prime factorization of 55038 in exponential form is:

55038 = 21 × 31 × 91731

Prime Factorization of 55055

Prime factors of 55055 are 5, 7, 11, 13. Prime factorization of 55055 in exponential form is:

55055 = 51 × 71 × 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 55038 and 55055.

LCM(55038,55055) = 21 × 31 × 91731 × 51 × 71 × 112 × 131
LCM(55038,55055) = 3030117090