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What is the Least Common Multiple of 26958 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 26958 and 26971 is 727084218.

LCM(26958,26971) = 727084218

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Least Common Multiple of 26958 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 26958 and 26971, than apply into the LCM equation.

GCF(26958,26971) = 1
LCM(26958,26971) = ( 26958 × 26971) / 1
LCM(26958,26971) = 727084218 / 1
LCM(26958,26971) = 727084218

Least Common Multiple (LCM) of 26958 and 26971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26958 and 26971. First we will calculate the prime factors of 26958 and 26971.

Prime Factorization of 26958

Prime factors of 26958 are 2, 3, 4493. Prime factorization of 26958 in exponential form is:

26958 = 21 × 31 × 44931

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 26958 and 26971.

LCM(26958,26971) = 21 × 31 × 44931 × 71 × 38531
LCM(26958,26971) = 727084218