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What is the Least Common Multiple of 55598 and 55606?

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 55598 and 55606 is 1545791194.

LCM(55598,55606) = 1545791194

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Least Common Multiple of 55598 and 55606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55598 and 55606, than apply into the LCM equation.

GCF(55598,55606) = 2
LCM(55598,55606) = ( 55598 × 55606) / 2
LCM(55598,55606) = 3091582388 / 2
LCM(55598,55606) = 1545791194

Least Common Multiple (LCM) of 55598 and 55606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55598 and 55606. First we will calculate the prime factors of 55598 and 55606.

Prime Factorization of 55598

Prime factors of 55598 are 2, 27799. Prime factorization of 55598 in exponential form is:

55598 = 21 × 277991

Prime Factorization of 55606

Prime factors of 55606 are 2, 27803. Prime factorization of 55606 in exponential form is:

55606 = 21 × 278031

Now multiplying the highest exponent prime factors to calculate the LCM of 55598 and 55606.

LCM(55598,55606) = 21 × 277991 × 278031
LCM(55598,55606) = 1545791194