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What is the Least Common Multiple of 43153 and 43173?

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 43153 and 43173 is 1863044469.

LCM(43153,43173) = 1863044469

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Least Common Multiple of 43153 and 43173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43153 and 43173, than apply into the LCM equation.

GCF(43153,43173) = 1
LCM(43153,43173) = ( 43153 × 43173) / 1
LCM(43153,43173) = 1863044469 / 1
LCM(43153,43173) = 1863044469

Least Common Multiple (LCM) of 43153 and 43173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43153 and 43173. First we will calculate the prime factors of 43153 and 43173.

Prime Factorization of 43153

Prime factors of 43153 are 11, 3923. Prime factorization of 43153 in exponential form is:

43153 = 111 × 39231

Prime Factorization of 43173

Prime factors of 43173 are 3, 13, 41. Prime factorization of 43173 in exponential form is:

43173 = 34 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 43153 and 43173.

LCM(43153,43173) = 111 × 39231 × 34 × 131 × 411
LCM(43153,43173) = 1863044469