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What is the Least Common Multiple of 55549 and 55566?

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 55549 and 55566 is 3086635734.

LCM(55549,55566) = 3086635734

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Least Common Multiple of 55549 and 55566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55549 and 55566, than apply into the LCM equation.

GCF(55549,55566) = 1
LCM(55549,55566) = ( 55549 × 55566) / 1
LCM(55549,55566) = 3086635734 / 1
LCM(55549,55566) = 3086635734

Least Common Multiple (LCM) of 55549 and 55566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55549 and 55566. First we will calculate the prime factors of 55549 and 55566.

Prime Factorization of 55549

Prime factors of 55549 are 13, 4273. Prime factorization of 55549 in exponential form is:

55549 = 131 × 42731

Prime Factorization of 55566

Prime factors of 55566 are 2, 3, 7. Prime factorization of 55566 in exponential form is:

55566 = 21 × 34 × 73

Now multiplying the highest exponent prime factors to calculate the LCM of 55549 and 55566.

LCM(55549,55566) = 131 × 42731 × 21 × 34 × 73
LCM(55549,55566) = 3086635734