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What is the Least Common Multiple of 55023 and 55038?

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 55023 and 55038 is 1009451958.

LCM(55023,55038) = 1009451958

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Least Common Multiple of 55023 and 55038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55023 and 55038, than apply into the LCM equation.

GCF(55023,55038) = 3
LCM(55023,55038) = ( 55023 × 55038) / 3
LCM(55023,55038) = 3028355874 / 3
LCM(55023,55038) = 1009451958

Least Common Multiple (LCM) of 55023 and 55038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55023 and 55038. First we will calculate the prime factors of 55023 and 55038.

Prime Factorization of 55023

Prime factors of 55023 are 3, 18341. Prime factorization of 55023 in exponential form is:

55023 = 31 × 183411

Prime Factorization of 55038

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

55038 = 21 × 31 × 91731

Now multiplying the highest exponent prime factors to calculate the LCM of 55023 and 55038.

LCM(55023,55038) = 31 × 183411 × 21 × 91731
LCM(55023,55038) = 1009451958