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What is the Least Common Multiple of 26262 and 26281?

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 26262 and 26281 is 690191622.

LCM(26262,26281) = 690191622

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Least Common Multiple of 26262 and 26281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26262 and 26281, than apply into the LCM equation.

GCF(26262,26281) = 1
LCM(26262,26281) = ( 26262 × 26281) / 1
LCM(26262,26281) = 690191622 / 1
LCM(26262,26281) = 690191622

Least Common Multiple (LCM) of 26262 and 26281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26262 and 26281. First we will calculate the prime factors of 26262 and 26281.

Prime Factorization of 26262

Prime factors of 26262 are 2, 3, 1459. Prime factorization of 26262 in exponential form is:

26262 = 21 × 32 × 14591

Prime Factorization of 26281

Prime factors of 26281 are 41, 641. Prime factorization of 26281 in exponential form is:

26281 = 411 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 26262 and 26281.

LCM(26262,26281) = 21 × 32 × 14591 × 411 × 6411
LCM(26262,26281) = 690191622