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What is the Least Common Multiple of 26320 and 26331?

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 26320 and 26331 is 693031920.

LCM(26320,26331) = 693031920

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Least Common Multiple of 26320 and 26331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26320 and 26331, than apply into the LCM equation.

GCF(26320,26331) = 1
LCM(26320,26331) = ( 26320 × 26331) / 1
LCM(26320,26331) = 693031920 / 1
LCM(26320,26331) = 693031920

Least Common Multiple (LCM) of 26320 and 26331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26320 and 26331. First we will calculate the prime factors of 26320 and 26331.

Prime Factorization of 26320

Prime factors of 26320 are 2, 5, 7, 47. Prime factorization of 26320 in exponential form is:

26320 = 24 × 51 × 71 × 471

Prime Factorization of 26331

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

26331 = 31 × 671 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 26320 and 26331.

LCM(26320,26331) = 24 × 51 × 71 × 471 × 31 × 671 × 1311
LCM(26320,26331) = 693031920