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What is the Least Common Multiple of 55656 and 55669?

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 55656 and 55669 is 3098313864.

LCM(55656,55669) = 3098313864

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Least Common Multiple of 55656 and 55669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55656 and 55669, than apply into the LCM equation.

GCF(55656,55669) = 1
LCM(55656,55669) = ( 55656 × 55669) / 1
LCM(55656,55669) = 3098313864 / 1
LCM(55656,55669) = 3098313864

Least Common Multiple (LCM) of 55656 and 55669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55656 and 55669. First we will calculate the prime factors of 55656 and 55669.

Prime Factorization of 55656

Prime factors of 55656 are 2, 3, 773. Prime factorization of 55656 in exponential form is:

55656 = 23 × 32 × 7731

Prime Factorization of 55669

Prime factors of 55669 are 179, 311. Prime factorization of 55669 in exponential form is:

55669 = 1791 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 55656 and 55669.

LCM(55656,55669) = 23 × 32 × 7731 × 1791 × 3111
LCM(55656,55669) = 3098313864