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What is the Least Common Multiple of 26256 and 26274?

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 26256 and 26274 is 114975024.

LCM(26256,26274) = 114975024

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Least Common Multiple of 26256 and 26274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26256 and 26274, than apply into the LCM equation.

GCF(26256,26274) = 6
LCM(26256,26274) = ( 26256 × 26274) / 6
LCM(26256,26274) = 689850144 / 6
LCM(26256,26274) = 114975024

Least Common Multiple (LCM) of 26256 and 26274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26256 and 26274. First we will calculate the prime factors of 26256 and 26274.

Prime Factorization of 26256

Prime factors of 26256 are 2, 3, 547. Prime factorization of 26256 in exponential form is:

26256 = 24 × 31 × 5471

Prime Factorization of 26274

Prime factors of 26274 are 2, 3, 29, 151. Prime factorization of 26274 in exponential form is:

26274 = 21 × 31 × 291 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 26256 and 26274.

LCM(26256,26274) = 24 × 31 × 5471 × 291 × 1511
LCM(26256,26274) = 114975024