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What is the Least Common Multiple of 29749 and 29761?

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 29749 and 29761 is 885359989.

LCM(29749,29761) = 885359989

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Least Common Multiple of 29749 and 29761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29749 and 29761, than apply into the LCM equation.

GCF(29749,29761) = 1
LCM(29749,29761) = ( 29749 × 29761) / 1
LCM(29749,29761) = 885359989 / 1
LCM(29749,29761) = 885359989

Least Common Multiple (LCM) of 29749 and 29761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29749 and 29761. First we will calculate the prime factors of 29749 and 29761.

Prime Factorization of 29749

Prime factors of 29749 are 71, 419. Prime factorization of 29749 in exponential form is:

29749 = 711 × 4191

Prime Factorization of 29761

Prime factors of 29761 are 29761. Prime factorization of 29761 in exponential form is:

29761 = 297611

Now multiplying the highest exponent prime factors to calculate the LCM of 29749 and 29761.

LCM(29749,29761) = 711 × 4191 × 297611
LCM(29749,29761) = 885359989