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What is the Least Common Multiple of 55038 and 55056?

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 55056 is 505028688.

LCM(55038,55056) = 505028688

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Least Common Multiple of 55038 and 55056 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 55056, than apply into the LCM equation.

GCF(55038,55056) = 6
LCM(55038,55056) = ( 55038 × 55056) / 6
LCM(55038,55056) = 3030172128 / 6
LCM(55038,55056) = 505028688

Least Common Multiple (LCM) of 55038 and 55056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55038 and 55056. First we will calculate the prime factors of 55038 and 55056.

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 55056

Prime factors of 55056 are 2, 3, 31, 37. Prime factorization of 55056 in exponential form is:

55056 = 24 × 31 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 55038 and 55056.

LCM(55038,55056) = 24 × 31 × 91731 × 311 × 371
LCM(55038,55056) = 505028688