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What is the Least Common Multiple of 26412 and 26431?

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 26412 and 26431 is 698095572.

LCM(26412,26431) = 698095572

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Least Common Multiple of 26412 and 26431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26412 and 26431, than apply into the LCM equation.

GCF(26412,26431) = 1
LCM(26412,26431) = ( 26412 × 26431) / 1
LCM(26412,26431) = 698095572 / 1
LCM(26412,26431) = 698095572

Least Common Multiple (LCM) of 26412 and 26431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26412 and 26431. First we will calculate the prime factors of 26412 and 26431.

Prime Factorization of 26412

Prime factors of 26412 are 2, 3, 31, 71. Prime factorization of 26412 in exponential form is:

26412 = 22 × 31 × 311 × 711

Prime Factorization of 26431

Prime factors of 26431 are 26431. Prime factorization of 26431 in exponential form is:

26431 = 264311

Now multiplying the highest exponent prime factors to calculate the LCM of 26412 and 26431.

LCM(26412,26431) = 22 × 31 × 311 × 711 × 264311
LCM(26412,26431) = 698095572