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What is the Least Common Multiple of 26943 and 26960?

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 26943 and 26960 is 726383280.

LCM(26943,26960) = 726383280

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Least Common Multiple of 26943 and 26960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26943 and 26960, than apply into the LCM equation.

GCF(26943,26960) = 1
LCM(26943,26960) = ( 26943 × 26960) / 1
LCM(26943,26960) = 726383280 / 1
LCM(26943,26960) = 726383280

Least Common Multiple (LCM) of 26943 and 26960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26943 and 26960. First we will calculate the prime factors of 26943 and 26960.

Prime Factorization of 26943

Prime factors of 26943 are 3, 7, 1283. Prime factorization of 26943 in exponential form is:

26943 = 31 × 71 × 12831

Prime Factorization of 26960

Prime factors of 26960 are 2, 5, 337. Prime factorization of 26960 in exponential form is:

26960 = 24 × 51 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 26943 and 26960.

LCM(26943,26960) = 31 × 71 × 12831 × 24 × 51 × 3371
LCM(26943,26960) = 726383280