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What is the Least Common Multiple of 26402 and 26421?

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 26402 and 26421 is 697567242.

LCM(26402,26421) = 697567242

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Least Common Multiple of 26402 and 26421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26402 and 26421, than apply into the LCM equation.

GCF(26402,26421) = 1
LCM(26402,26421) = ( 26402 × 26421) / 1
LCM(26402,26421) = 697567242 / 1
LCM(26402,26421) = 697567242

Least Common Multiple (LCM) of 26402 and 26421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26402 and 26421. First we will calculate the prime factors of 26402 and 26421.

Prime Factorization of 26402

Prime factors of 26402 are 2, 43, 307. Prime factorization of 26402 in exponential form is:

26402 = 21 × 431 × 3071

Prime Factorization of 26421

Prime factors of 26421 are 3, 8807. Prime factorization of 26421 in exponential form is:

26421 = 31 × 88071

Now multiplying the highest exponent prime factors to calculate the LCM of 26402 and 26421.

LCM(26402,26421) = 21 × 431 × 3071 × 31 × 88071
LCM(26402,26421) = 697567242