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What is the Least Common Multiple of 26134 and 26143?

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 26134 and 26143 is 683221162.

LCM(26134,26143) = 683221162

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Least Common Multiple of 26134 and 26143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26134 and 26143, than apply into the LCM equation.

GCF(26134,26143) = 1
LCM(26134,26143) = ( 26134 × 26143) / 1
LCM(26134,26143) = 683221162 / 1
LCM(26134,26143) = 683221162

Least Common Multiple (LCM) of 26134 and 26143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26134 and 26143. First we will calculate the prime factors of 26134 and 26143.

Prime Factorization of 26134

Prime factors of 26134 are 2, 73, 179. Prime factorization of 26134 in exponential form is:

26134 = 21 × 731 × 1791

Prime Factorization of 26143

Prime factors of 26143 are 13, 2011. Prime factorization of 26143 in exponential form is:

26143 = 131 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 26134 and 26143.

LCM(26134,26143) = 21 × 731 × 1791 × 131 × 20111
LCM(26134,26143) = 683221162