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What is the Least Common Multiple of 55047 and 55067?

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 55047 and 55067 is 3031273149.

LCM(55047,55067) = 3031273149

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Least Common Multiple of 55047 and 55067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55047 and 55067, than apply into the LCM equation.

GCF(55047,55067) = 1
LCM(55047,55067) = ( 55047 × 55067) / 1
LCM(55047,55067) = 3031273149 / 1
LCM(55047,55067) = 3031273149

Least Common Multiple (LCM) of 55047 and 55067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55047 and 55067. First we will calculate the prime factors of 55047 and 55067.

Prime Factorization of 55047

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

55047 = 31 × 591 × 3111

Prime Factorization of 55067

Prime factors of 55067 are 53, 1039. Prime factorization of 55067 in exponential form is:

55067 = 531 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 55047 and 55067.

LCM(55047,55067) = 31 × 591 × 3111 × 531 × 10391
LCM(55047,55067) = 3031273149