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What is the Least Common Multiple of 55143 and 55163?

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 55143 and 55163 is 3041853309.

LCM(55143,55163) = 3041853309

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Least Common Multiple of 55143 and 55163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55143 and 55163, than apply into the LCM equation.

GCF(55143,55163) = 1
LCM(55143,55163) = ( 55143 × 55163) / 1
LCM(55143,55163) = 3041853309 / 1
LCM(55143,55163) = 3041853309

Least Common Multiple (LCM) of 55143 and 55163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55143 and 55163. First we will calculate the prime factors of 55143 and 55163.

Prime Factorization of 55143

Prime factors of 55143 are 3, 11, 557. Prime factorization of 55143 in exponential form is:

55143 = 32 × 111 × 5571

Prime Factorization of 55163

Prime factors of 55163 are 55163. Prime factorization of 55163 in exponential form is:

55163 = 551631

Now multiplying the highest exponent prime factors to calculate the LCM of 55143 and 55163.

LCM(55143,55163) = 32 × 111 × 5571 × 551631
LCM(55143,55163) = 3041853309