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What is the Least Common Multiple of 26749 and 26753?

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 26749 and 26753 is 715615997.

LCM(26749,26753) = 715615997

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Least Common Multiple of 26749 and 26753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26749 and 26753, than apply into the LCM equation.

GCF(26749,26753) = 1
LCM(26749,26753) = ( 26749 × 26753) / 1
LCM(26749,26753) = 715615997 / 1
LCM(26749,26753) = 715615997

Least Common Multiple (LCM) of 26749 and 26753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26749 and 26753. First we will calculate the prime factors of 26749 and 26753.

Prime Factorization of 26749

Prime factors of 26749 are 23, 1163. Prime factorization of 26749 in exponential form is:

26749 = 231 × 11631

Prime Factorization of 26753

Prime factors of 26753 are 31, 863. Prime factorization of 26753 in exponential form is:

26753 = 311 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 26749 and 26753.

LCM(26749,26753) = 231 × 11631 × 311 × 8631
LCM(26749,26753) = 715615997