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What is the Least Common Multiple of 26722 and 26733?

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 26733 is 714359226.

LCM(26722,26733) = 714359226

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Least Common Multiple of 26722 and 26733 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 26733, than apply into the LCM equation.

GCF(26722,26733) = 1
LCM(26722,26733) = ( 26722 × 26733) / 1
LCM(26722,26733) = 714359226 / 1
LCM(26722,26733) = 714359226

Least Common Multiple (LCM) of 26722 and 26733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26722 and 26733. First we will calculate the prime factors of 26722 and 26733.

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 26733

Prime factors of 26733 are 3, 7, 19, 67. Prime factorization of 26733 in exponential form is:

26733 = 31 × 71 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 26722 and 26733.

LCM(26722,26733) = 21 × 311 × 4311 × 31 × 71 × 191 × 671
LCM(26722,26733) = 714359226