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What is the Least Common Multiple of 55033 and 55047?

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 55033 and 55047 is 3029401551.

LCM(55033,55047) = 3029401551

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Least Common Multiple of 55033 and 55047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55033 and 55047, than apply into the LCM equation.

GCF(55033,55047) = 1
LCM(55033,55047) = ( 55033 × 55047) / 1
LCM(55033,55047) = 3029401551 / 1
LCM(55033,55047) = 3029401551

Least Common Multiple (LCM) of 55033 and 55047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55033 and 55047. First we will calculate the prime factors of 55033 and 55047.

Prime Factorization of 55033

Prime factors of 55033 are 11, 5003. Prime factorization of 55033 in exponential form is:

55033 = 111 × 50031

Prime Factorization of 55047

Prime factors of 55047 are 3, 59, 311. Prime factorization of 55047 in exponential form is:

55047 = 31 × 591 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 55033 and 55047.

LCM(55033,55047) = 111 × 50031 × 31 × 591 × 3111
LCM(55033,55047) = 3029401551