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What is the Least Common Multiple of 26234 and 26248?

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 26234 and 26248 is 344295016.

LCM(26234,26248) = 344295016

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Least Common Multiple of 26234 and 26248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26234 and 26248, than apply into the LCM equation.

GCF(26234,26248) = 2
LCM(26234,26248) = ( 26234 × 26248) / 2
LCM(26234,26248) = 688590032 / 2
LCM(26234,26248) = 344295016

Least Common Multiple (LCM) of 26234 and 26248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26234 and 26248. First we will calculate the prime factors of 26234 and 26248.

Prime Factorization of 26234

Prime factors of 26234 are 2, 13, 1009. Prime factorization of 26234 in exponential form is:

26234 = 21 × 131 × 10091

Prime Factorization of 26248

Prime factors of 26248 are 2, 17, 193. Prime factorization of 26248 in exponential form is:

26248 = 23 × 171 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 26234 and 26248.

LCM(26234,26248) = 23 × 131 × 10091 × 171 × 1931
LCM(26234,26248) = 344295016