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What is the Least Common Multiple of 55546 and 55565?

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 55546 and 55565 is 3086413490.

LCM(55546,55565) = 3086413490

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Least Common Multiple of 55546 and 55565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55546 and 55565, than apply into the LCM equation.

GCF(55546,55565) = 1
LCM(55546,55565) = ( 55546 × 55565) / 1
LCM(55546,55565) = 3086413490 / 1
LCM(55546,55565) = 3086413490

Least Common Multiple (LCM) of 55546 and 55565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55546 and 55565. First we will calculate the prime factors of 55546 and 55565.

Prime Factorization of 55546

Prime factors of 55546 are 2, 27773. Prime factorization of 55546 in exponential form is:

55546 = 21 × 277731

Prime Factorization of 55565

Prime factors of 55565 are 5, 11113. Prime factorization of 55565 in exponential form is:

55565 = 51 × 111131

Now multiplying the highest exponent prime factors to calculate the LCM of 55546 and 55565.

LCM(55546,55565) = 21 × 277731 × 51 × 111131
LCM(55546,55565) = 3086413490