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What is the Least Common Multiple of 26331 and 26342?

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 26331 and 26342 is 693611202.

LCM(26331,26342) = 693611202

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Least Common Multiple of 26331 and 26342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26331 and 26342, than apply into the LCM equation.

GCF(26331,26342) = 1
LCM(26331,26342) = ( 26331 × 26342) / 1
LCM(26331,26342) = 693611202 / 1
LCM(26331,26342) = 693611202

Least Common Multiple (LCM) of 26331 and 26342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26331 and 26342. First we will calculate the prime factors of 26331 and 26342.

Prime Factorization of 26331

Prime factors of 26331 are 3, 67, 131. Prime factorization of 26331 in exponential form is:

26331 = 31 × 671 × 1311

Prime Factorization of 26342

Prime factors of 26342 are 2, 13171. Prime factorization of 26342 in exponential form is:

26342 = 21 × 131711

Now multiplying the highest exponent prime factors to calculate the LCM of 26331 and 26342.

LCM(26331,26342) = 31 × 671 × 1311 × 21 × 131711
LCM(26331,26342) = 693611202