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What is the Least Common Multiple of 55054 and 55069?

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 55054 and 55069 is 3031768726.

LCM(55054,55069) = 3031768726

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Least Common Multiple of 55054 and 55069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55054 and 55069, than apply into the LCM equation.

GCF(55054,55069) = 1
LCM(55054,55069) = ( 55054 × 55069) / 1
LCM(55054,55069) = 3031768726 / 1
LCM(55054,55069) = 3031768726

Least Common Multiple (LCM) of 55054 and 55069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55054 and 55069. First we will calculate the prime factors of 55054 and 55069.

Prime Factorization of 55054

Prime factors of 55054 are 2, 27527. Prime factorization of 55054 in exponential form is:

55054 = 21 × 275271

Prime Factorization of 55069

Prime factors of 55069 are 7, 7867. Prime factorization of 55069 in exponential form is:

55069 = 71 × 78671

Now multiplying the highest exponent prime factors to calculate the LCM of 55054 and 55069.

LCM(55054,55069) = 21 × 275271 × 71 × 78671
LCM(55054,55069) = 3031768726