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What is the Least Common Multiple of 29848 and 29853?

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 29848 and 29853 is 891052344.

LCM(29848,29853) = 891052344

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Least Common Multiple of 29848 and 29853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29848 and 29853, than apply into the LCM equation.

GCF(29848,29853) = 1
LCM(29848,29853) = ( 29848 × 29853) / 1
LCM(29848,29853) = 891052344 / 1
LCM(29848,29853) = 891052344

Least Common Multiple (LCM) of 29848 and 29853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29848 and 29853. First we will calculate the prime factors of 29848 and 29853.

Prime Factorization of 29848

Prime factors of 29848 are 2, 7, 13, 41. Prime factorization of 29848 in exponential form is:

29848 = 23 × 71 × 131 × 411

Prime Factorization of 29853

Prime factors of 29853 are 3, 31, 107. Prime factorization of 29853 in exponential form is:

29853 = 32 × 311 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 29848 and 29853.

LCM(29848,29853) = 23 × 71 × 131 × 411 × 32 × 311 × 1071
LCM(29848,29853) = 891052344