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What is the Least Common Multiple of 26440 and 26457?

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 26440 and 26457 is 699523080.

LCM(26440,26457) = 699523080

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Least Common Multiple of 26440 and 26457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26440 and 26457, than apply into the LCM equation.

GCF(26440,26457) = 1
LCM(26440,26457) = ( 26440 × 26457) / 1
LCM(26440,26457) = 699523080 / 1
LCM(26440,26457) = 699523080

Least Common Multiple (LCM) of 26440 and 26457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26440 and 26457. First we will calculate the prime factors of 26440 and 26457.

Prime Factorization of 26440

Prime factors of 26440 are 2, 5, 661. Prime factorization of 26440 in exponential form is:

26440 = 23 × 51 × 6611

Prime Factorization of 26457

Prime factors of 26457 are 3, 8819. Prime factorization of 26457 in exponential form is:

26457 = 31 × 88191

Now multiplying the highest exponent prime factors to calculate the LCM of 26440 and 26457.

LCM(26440,26457) = 23 × 51 × 6611 × 31 × 88191
LCM(26440,26457) = 699523080