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What is the Least Common Multiple of 26252 and 26258?

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 26252 and 26258 is 344662508.

LCM(26252,26258) = 344662508

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Least Common Multiple of 26252 and 26258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26252 and 26258, than apply into the LCM equation.

GCF(26252,26258) = 2
LCM(26252,26258) = ( 26252 × 26258) / 2
LCM(26252,26258) = 689325016 / 2
LCM(26252,26258) = 344662508

Least Common Multiple (LCM) of 26252 and 26258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26252 and 26258. First we will calculate the prime factors of 26252 and 26258.

Prime Factorization of 26252

Prime factors of 26252 are 2, 6563. Prime factorization of 26252 in exponential form is:

26252 = 22 × 65631

Prime Factorization of 26258

Prime factors of 26258 are 2, 19, 691. Prime factorization of 26258 in exponential form is:

26258 = 21 × 191 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 26252 and 26258.

LCM(26252,26258) = 22 × 65631 × 191 × 6911
LCM(26252,26258) = 344662508