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What is the Least Common Multiple of 29749 and 29769?

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 29769 is 885597981.

LCM(29749,29769) = 885597981

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Least Common Multiple of 29749 and 29769 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 29769, than apply into the LCM equation.

GCF(29749,29769) = 1
LCM(29749,29769) = ( 29749 × 29769) / 1
LCM(29749,29769) = 885597981 / 1
LCM(29749,29769) = 885597981

Least Common Multiple (LCM) of 29749 and 29769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29749 and 29769. First we will calculate the prime factors of 29749 and 29769.

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 29769

Prime factors of 29769 are 3, 9923. Prime factorization of 29769 in exponential form is:

29769 = 31 × 99231

Now multiplying the highest exponent prime factors to calculate the LCM of 29749 and 29769.

LCM(29749,29769) = 711 × 4191 × 31 × 99231
LCM(29749,29769) = 885597981