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What is the Least Common Multiple of 29830 and 29849?

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 29830 and 29849 is 46862930.

LCM(29830,29849) = 46862930

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Least Common Multiple of 29830 and 29849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29830 and 29849, than apply into the LCM equation.

GCF(29830,29849) = 19
LCM(29830,29849) = ( 29830 × 29849) / 19
LCM(29830,29849) = 890395670 / 19
LCM(29830,29849) = 46862930

Least Common Multiple (LCM) of 29830 and 29849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29830 and 29849. First we will calculate the prime factors of 29830 and 29849.

Prime Factorization of 29830

Prime factors of 29830 are 2, 5, 19, 157. Prime factorization of 29830 in exponential form is:

29830 = 21 × 51 × 191 × 1571

Prime Factorization of 29849

Prime factors of 29849 are 19, 1571. Prime factorization of 29849 in exponential form is:

29849 = 191 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 29830 and 29849.

LCM(29830,29849) = 21 × 51 × 191 × 1571 × 15711
LCM(29830,29849) = 46862930