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What is the Least Common Multiple of 26483 and 26495?

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 26483 and 26495 is 701667085.

LCM(26483,26495) = 701667085

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Least Common Multiple of 26483 and 26495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26483 and 26495, than apply into the LCM equation.

GCF(26483,26495) = 1
LCM(26483,26495) = ( 26483 × 26495) / 1
LCM(26483,26495) = 701667085 / 1
LCM(26483,26495) = 701667085

Least Common Multiple (LCM) of 26483 and 26495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26483 and 26495. First we will calculate the prime factors of 26483 and 26495.

Prime Factorization of 26483

Prime factors of 26483 are 71, 373. Prime factorization of 26483 in exponential form is:

26483 = 711 × 3731

Prime Factorization of 26495

Prime factors of 26495 are 5, 7, 757. Prime factorization of 26495 in exponential form is:

26495 = 51 × 71 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 26483 and 26495.

LCM(26483,26495) = 711 × 3731 × 51 × 71 × 7571
LCM(26483,26495) = 701667085