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What is the Least Common Multiple of 29432 and 29440?

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 29432 and 29440 is 108309760.

LCM(29432,29440) = 108309760

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Least Common Multiple of 29432 and 29440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29432 and 29440, than apply into the LCM equation.

GCF(29432,29440) = 8
LCM(29432,29440) = ( 29432 × 29440) / 8
LCM(29432,29440) = 866478080 / 8
LCM(29432,29440) = 108309760

Least Common Multiple (LCM) of 29432 and 29440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29432 and 29440. First we will calculate the prime factors of 29432 and 29440.

Prime Factorization of 29432

Prime factors of 29432 are 2, 13, 283. Prime factorization of 29432 in exponential form is:

29432 = 23 × 131 × 2831

Prime Factorization of 29440

Prime factors of 29440 are 2, 5, 23. Prime factorization of 29440 in exponential form is:

29440 = 28 × 51 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 29432 and 29440.

LCM(29432,29440) = 28 × 131 × 2831 × 51 × 231
LCM(29432,29440) = 108309760