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What is the Least Common Multiple of 26960 and 26971?

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 26960 and 26971 is 727138160.

LCM(26960,26971) = 727138160

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Least Common Multiple of 26960 and 26971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26960 and 26971, than apply into the LCM equation.

GCF(26960,26971) = 1
LCM(26960,26971) = ( 26960 × 26971) / 1
LCM(26960,26971) = 727138160 / 1
LCM(26960,26971) = 727138160

Least Common Multiple (LCM) of 26960 and 26971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26960 and 26971. First we will calculate the prime factors of 26960 and 26971.

Prime Factorization of 26960

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

26960 = 24 × 51 × 3371

Prime Factorization of 26971

Prime factors of 26971 are 7, 3853. Prime factorization of 26971 in exponential form is:

26971 = 71 × 38531

Now multiplying the highest exponent prime factors to calculate the LCM of 26960 and 26971.

LCM(26960,26971) = 24 × 51 × 3371 × 71 × 38531
LCM(26960,26971) = 727138160