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What is the Least Common Multiple of 26126 and 26134?

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 26126 and 26134 is 341388442.

LCM(26126,26134) = 341388442

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Least Common Multiple of 26126 and 26134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26126 and 26134, than apply into the LCM equation.

GCF(26126,26134) = 2
LCM(26126,26134) = ( 26126 × 26134) / 2
LCM(26126,26134) = 682776884 / 2
LCM(26126,26134) = 341388442

Least Common Multiple (LCM) of 26126 and 26134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26126 and 26134. First we will calculate the prime factors of 26126 and 26134.

Prime Factorization of 26126

Prime factors of 26126 are 2, 13063. Prime factorization of 26126 in exponential form is:

26126 = 21 × 130631

Prime Factorization of 26134

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

26134 = 21 × 731 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 26126 and 26134.

LCM(26126,26134) = 21 × 130631 × 731 × 1791
LCM(26126,26134) = 341388442