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What is the Least Common Multiple of 55659 and 55668?

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 55659 and 55668 is 1032808404.

LCM(55659,55668) = 1032808404

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Least Common Multiple of 55659 and 55668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55659 and 55668, than apply into the LCM equation.

GCF(55659,55668) = 3
LCM(55659,55668) = ( 55659 × 55668) / 3
LCM(55659,55668) = 3098425212 / 3
LCM(55659,55668) = 1032808404

Least Common Multiple (LCM) of 55659 and 55668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55659 and 55668. First we will calculate the prime factors of 55659 and 55668.

Prime Factorization of 55659

Prime factors of 55659 are 3, 18553. Prime factorization of 55659 in exponential form is:

55659 = 31 × 185531

Prime Factorization of 55668

Prime factors of 55668 are 2, 3, 4639. Prime factorization of 55668 in exponential form is:

55668 = 22 × 31 × 46391

Now multiplying the highest exponent prime factors to calculate the LCM of 55659 and 55668.

LCM(55659,55668) = 31 × 185531 × 22 × 46391
LCM(55659,55668) = 1032808404