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What is the Least Common Multiple of 26446 and 26458?

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 26446 and 26458 is 349854134.

LCM(26446,26458) = 349854134

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Least Common Multiple of 26446 and 26458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26446 and 26458, than apply into the LCM equation.

GCF(26446,26458) = 2
LCM(26446,26458) = ( 26446 × 26458) / 2
LCM(26446,26458) = 699708268 / 2
LCM(26446,26458) = 349854134

Least Common Multiple (LCM) of 26446 and 26458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26446 and 26458. First we will calculate the prime factors of 26446 and 26458.

Prime Factorization of 26446

Prime factors of 26446 are 2, 7, 1889. Prime factorization of 26446 in exponential form is:

26446 = 21 × 71 × 18891

Prime Factorization of 26458

Prime factors of 26458 are 2, 13229. Prime factorization of 26458 in exponential form is:

26458 = 21 × 132291

Now multiplying the highest exponent prime factors to calculate the LCM of 26446 and 26458.

LCM(26446,26458) = 21 × 71 × 18891 × 132291
LCM(26446,26458) = 349854134