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What is the Least Common Multiple of 55818 and 55834?

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 55818 and 55834 is 1558271106.

LCM(55818,55834) = 1558271106

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Least Common Multiple of 55818 and 55834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55818 and 55834, than apply into the LCM equation.

GCF(55818,55834) = 2
LCM(55818,55834) = ( 55818 × 55834) / 2
LCM(55818,55834) = 3116542212 / 2
LCM(55818,55834) = 1558271106

Least Common Multiple (LCM) of 55818 and 55834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55818 and 55834. First we will calculate the prime factors of 55818 and 55834.

Prime Factorization of 55818

Prime factors of 55818 are 2, 3, 7, 443. Prime factorization of 55818 in exponential form is:

55818 = 21 × 32 × 71 × 4431

Prime Factorization of 55834

Prime factors of 55834 are 2, 27917. Prime factorization of 55834 in exponential form is:

55834 = 21 × 279171

Now multiplying the highest exponent prime factors to calculate the LCM of 55818 and 55834.

LCM(55818,55834) = 21 × 32 × 71 × 4431 × 279171
LCM(55818,55834) = 1558271106