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What is the Least Common Multiple of 55169 and 55175?

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 55169 and 55175 is 3043949575.

LCM(55169,55175) = 3043949575

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Least Common Multiple of 55169 and 55175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55169 and 55175, than apply into the LCM equation.

GCF(55169,55175) = 1
LCM(55169,55175) = ( 55169 × 55175) / 1
LCM(55169,55175) = 3043949575 / 1
LCM(55169,55175) = 3043949575

Least Common Multiple (LCM) of 55169 and 55175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55169 and 55175. First we will calculate the prime factors of 55169 and 55175.

Prime Factorization of 55169

Prime factors of 55169 are 43, 1283. Prime factorization of 55169 in exponential form is:

55169 = 431 × 12831

Prime Factorization of 55175

Prime factors of 55175 are 5, 2207. Prime factorization of 55175 in exponential form is:

55175 = 52 × 22071

Now multiplying the highest exponent prime factors to calculate the LCM of 55169 and 55175.

LCM(55169,55175) = 431 × 12831 × 52 × 22071
LCM(55169,55175) = 3043949575