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What is the Least Common Multiple of 27626 and 27643?

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 27626 and 27643 is 763665518.

LCM(27626,27643) = 763665518

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Least Common Multiple of 27626 and 27643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27626 and 27643, than apply into the LCM equation.

GCF(27626,27643) = 1
LCM(27626,27643) = ( 27626 × 27643) / 1
LCM(27626,27643) = 763665518 / 1
LCM(27626,27643) = 763665518

Least Common Multiple (LCM) of 27626 and 27643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27626 and 27643. First we will calculate the prime factors of 27626 and 27643.

Prime Factorization of 27626

Prime factors of 27626 are 2, 19, 727. Prime factorization of 27626 in exponential form is:

27626 = 21 × 191 × 7271

Prime Factorization of 27643

Prime factors of 27643 are 7, 11, 359. Prime factorization of 27643 in exponential form is:

27643 = 71 × 111 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 27626 and 27643.

LCM(27626,27643) = 21 × 191 × 7271 × 71 × 111 × 3591
LCM(27626,27643) = 763665518