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What is the Least Common Multiple of 26978 and 26991?

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 26978 and 26991 is 728163198.

LCM(26978,26991) = 728163198

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Least Common Multiple of 26978 and 26991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26978 and 26991, than apply into the LCM equation.

GCF(26978,26991) = 1
LCM(26978,26991) = ( 26978 × 26991) / 1
LCM(26978,26991) = 728163198 / 1
LCM(26978,26991) = 728163198

Least Common Multiple (LCM) of 26978 and 26991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26978 and 26991. First we will calculate the prime factors of 26978 and 26991.

Prime Factorization of 26978

Prime factors of 26978 are 2, 7, 41, 47. Prime factorization of 26978 in exponential form is:

26978 = 21 × 71 × 411 × 471

Prime Factorization of 26991

Prime factors of 26991 are 3, 2999. Prime factorization of 26991 in exponential form is:

26991 = 32 × 29991

Now multiplying the highest exponent prime factors to calculate the LCM of 26978 and 26991.

LCM(26978,26991) = 21 × 71 × 411 × 471 × 32 × 29991
LCM(26978,26991) = 728163198