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What is the Least Common Multiple of 29818 and 29825?

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 29818 and 29825 is 889321850.

LCM(29818,29825) = 889321850

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Least Common Multiple of 29818 and 29825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29818 and 29825, than apply into the LCM equation.

GCF(29818,29825) = 1
LCM(29818,29825) = ( 29818 × 29825) / 1
LCM(29818,29825) = 889321850 / 1
LCM(29818,29825) = 889321850

Least Common Multiple (LCM) of 29818 and 29825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29818 and 29825. First we will calculate the prime factors of 29818 and 29825.

Prime Factorization of 29818

Prime factors of 29818 are 2, 17, 877. Prime factorization of 29818 in exponential form is:

29818 = 21 × 171 × 8771

Prime Factorization of 29825

Prime factors of 29825 are 5, 1193. Prime factorization of 29825 in exponential form is:

29825 = 52 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 29818 and 29825.

LCM(29818,29825) = 21 × 171 × 8771 × 52 × 11931
LCM(29818,29825) = 889321850