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What is the Least Common Multiple of 55641 and 55656?

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 55641 and 55656 is 1032251832.

LCM(55641,55656) = 1032251832

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Least Common Multiple of 55641 and 55656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55641 and 55656, than apply into the LCM equation.

GCF(55641,55656) = 3
LCM(55641,55656) = ( 55641 × 55656) / 3
LCM(55641,55656) = 3096755496 / 3
LCM(55641,55656) = 1032251832

Least Common Multiple (LCM) of 55641 and 55656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55641 and 55656. First we will calculate the prime factors of 55641 and 55656.

Prime Factorization of 55641

Prime factors of 55641 are 3, 17, 1091. Prime factorization of 55641 in exponential form is:

55641 = 31 × 171 × 10911

Prime Factorization of 55656

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

55656 = 23 × 32 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 55641 and 55656.

LCM(55641,55656) = 32 × 171 × 10911 × 23 × 7731
LCM(55641,55656) = 1032251832