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What is the Least Common Multiple of 55420 and 55439?

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 55420 and 55439 is 3072429380.

LCM(55420,55439) = 3072429380

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Least Common Multiple of 55420 and 55439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55420 and 55439, than apply into the LCM equation.

GCF(55420,55439) = 1
LCM(55420,55439) = ( 55420 × 55439) / 1
LCM(55420,55439) = 3072429380 / 1
LCM(55420,55439) = 3072429380

Least Common Multiple (LCM) of 55420 and 55439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55420 and 55439. First we will calculate the prime factors of 55420 and 55439.

Prime Factorization of 55420

Prime factors of 55420 are 2, 5, 17, 163. Prime factorization of 55420 in exponential form is:

55420 = 22 × 51 × 171 × 1631

Prime Factorization of 55439

Prime factors of 55439 are 55439. Prime factorization of 55439 in exponential form is:

55439 = 554391

Now multiplying the highest exponent prime factors to calculate the LCM of 55420 and 55439.

LCM(55420,55439) = 22 × 51 × 171 × 1631 × 554391
LCM(55420,55439) = 3072429380