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What is the Least Common Multiple of 26489 and 26496?

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 26489 and 26496 is 701852544.

LCM(26489,26496) = 701852544

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Least Common Multiple of 26489 and 26496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26489 and 26496, than apply into the LCM equation.

GCF(26489,26496) = 1
LCM(26489,26496) = ( 26489 × 26496) / 1
LCM(26489,26496) = 701852544 / 1
LCM(26489,26496) = 701852544

Least Common Multiple (LCM) of 26489 and 26496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26489 and 26496. First we will calculate the prime factors of 26489 and 26496.

Prime Factorization of 26489

Prime factors of 26489 are 26489. Prime factorization of 26489 in exponential form is:

26489 = 264891

Prime Factorization of 26496

Prime factors of 26496 are 2, 3, 23. Prime factorization of 26496 in exponential form is:

26496 = 27 × 32 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 26489 and 26496.

LCM(26489,26496) = 264891 × 27 × 32 × 231
LCM(26489,26496) = 701852544