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What is the Least Common Multiple of 26722 and 26731?

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 26722 and 26731 is 714305782.

LCM(26722,26731) = 714305782

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Least Common Multiple of 26722 and 26731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26722 and 26731, than apply into the LCM equation.

GCF(26722,26731) = 1
LCM(26722,26731) = ( 26722 × 26731) / 1
LCM(26722,26731) = 714305782 / 1
LCM(26722,26731) = 714305782

Least Common Multiple (LCM) of 26722 and 26731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26722 and 26731. First we will calculate the prime factors of 26722 and 26731.

Prime Factorization of 26722

Prime factors of 26722 are 2, 31, 431. Prime factorization of 26722 in exponential form is:

26722 = 21 × 311 × 4311

Prime Factorization of 26731

Prime factors of 26731 are 26731. Prime factorization of 26731 in exponential form is:

26731 = 267311

Now multiplying the highest exponent prime factors to calculate the LCM of 26722 and 26731.

LCM(26722,26731) = 21 × 311 × 4311 × 267311
LCM(26722,26731) = 714305782