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What is the Least Common Multiple of 26956 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 26956 and 26960 is 181683440.

LCM(26956,26960) = 181683440

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Least Common Multiple of 26956 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 26956 and 26960, than apply into the LCM equation.

GCF(26956,26960) = 4
LCM(26956,26960) = ( 26956 × 26960) / 4
LCM(26956,26960) = 726733760 / 4
LCM(26956,26960) = 181683440

Least Common Multiple (LCM) of 26956 and 26960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26956 and 26960. First we will calculate the prime factors of 26956 and 26960.

Prime Factorization of 26956

Prime factors of 26956 are 2, 23, 293. Prime factorization of 26956 in exponential form is:

26956 = 22 × 231 × 2931

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 26956 and 26960.

LCM(26956,26960) = 24 × 231 × 2931 × 51 × 3371
LCM(26956,26960) = 181683440