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What is the Least Common Multiple of 26464 and 26483?

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 26464 and 26483 is 700846112.

LCM(26464,26483) = 700846112

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Least Common Multiple of 26464 and 26483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26464 and 26483, than apply into the LCM equation.

GCF(26464,26483) = 1
LCM(26464,26483) = ( 26464 × 26483) / 1
LCM(26464,26483) = 700846112 / 1
LCM(26464,26483) = 700846112

Least Common Multiple (LCM) of 26464 and 26483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26464 and 26483. First we will calculate the prime factors of 26464 and 26483.

Prime Factorization of 26464

Prime factors of 26464 are 2, 827. Prime factorization of 26464 in exponential form is:

26464 = 25 × 8271

Prime Factorization of 26483

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

26483 = 711 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 26464 and 26483.

LCM(26464,26483) = 25 × 8271 × 711 × 3731
LCM(26464,26483) = 700846112