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What is the Least Common Multiple of 26488 and 26492?

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 26488 and 26492 is 175430024.

LCM(26488,26492) = 175430024

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Least Common Multiple of 26488 and 26492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26488 and 26492, than apply into the LCM equation.

GCF(26488,26492) = 4
LCM(26488,26492) = ( 26488 × 26492) / 4
LCM(26488,26492) = 701720096 / 4
LCM(26488,26492) = 175430024

Least Common Multiple (LCM) of 26488 and 26492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26488 and 26492. First we will calculate the prime factors of 26488 and 26492.

Prime Factorization of 26488

Prime factors of 26488 are 2, 7, 11, 43. Prime factorization of 26488 in exponential form is:

26488 = 23 × 71 × 111 × 431

Prime Factorization of 26492

Prime factors of 26492 are 2, 37, 179. Prime factorization of 26492 in exponential form is:

26492 = 22 × 371 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 26488 and 26492.

LCM(26488,26492) = 23 × 71 × 111 × 431 × 371 × 1791
LCM(26488,26492) = 175430024