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What is the Least Common Multiple of 55769 and 55788?

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 55769 and 55788 is 3111240972.

LCM(55769,55788) = 3111240972

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Least Common Multiple of 55769 and 55788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55769 and 55788, than apply into the LCM equation.

GCF(55769,55788) = 1
LCM(55769,55788) = ( 55769 × 55788) / 1
LCM(55769,55788) = 3111240972 / 1
LCM(55769,55788) = 3111240972

Least Common Multiple (LCM) of 55769 and 55788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55769 and 55788. First we will calculate the prime factors of 55769 and 55788.

Prime Factorization of 55769

Prime factors of 55769 are 7, 31, 257. Prime factorization of 55769 in exponential form is:

55769 = 71 × 311 × 2571

Prime Factorization of 55788

Prime factors of 55788 are 2, 3, 4649. Prime factorization of 55788 in exponential form is:

55788 = 22 × 31 × 46491

Now multiplying the highest exponent prime factors to calculate the LCM of 55769 and 55788.

LCM(55769,55788) = 71 × 311 × 2571 × 22 × 31 × 46491
LCM(55769,55788) = 3111240972