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What is the Least Common Multiple of 55772 and 55785?

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 55772 and 55785 is 3111241020.

LCM(55772,55785) = 3111241020

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Least Common Multiple of 55772 and 55785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55772 and 55785, than apply into the LCM equation.

GCF(55772,55785) = 1
LCM(55772,55785) = ( 55772 × 55785) / 1
LCM(55772,55785) = 3111241020 / 1
LCM(55772,55785) = 3111241020

Least Common Multiple (LCM) of 55772 and 55785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55772 and 55785. First we will calculate the prime factors of 55772 and 55785.

Prime Factorization of 55772

Prime factors of 55772 are 2, 73, 191. Prime factorization of 55772 in exponential form is:

55772 = 22 × 731 × 1911

Prime Factorization of 55785

Prime factors of 55785 are 3, 5, 3719. Prime factorization of 55785 in exponential form is:

55785 = 31 × 51 × 37191

Now multiplying the highest exponent prime factors to calculate the LCM of 55772 and 55785.

LCM(55772,55785) = 22 × 731 × 1911 × 31 × 51 × 37191
LCM(55772,55785) = 3111241020