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What is the Least Common Multiple of 29478 and 29483?

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 29478 and 29483 is 869099874.

LCM(29478,29483) = 869099874

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Least Common Multiple of 29478 and 29483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29478 and 29483, than apply into the LCM equation.

GCF(29478,29483) = 1
LCM(29478,29483) = ( 29478 × 29483) / 1
LCM(29478,29483) = 869099874 / 1
LCM(29478,29483) = 869099874

Least Common Multiple (LCM) of 29478 and 29483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29478 and 29483. First we will calculate the prime factors of 29478 and 29483.

Prime Factorization of 29478

Prime factors of 29478 are 2, 3, 17. Prime factorization of 29478 in exponential form is:

29478 = 21 × 31 × 173

Prime Factorization of 29483

Prime factors of 29483 are 29483. Prime factorization of 29483 in exponential form is:

29483 = 294831

Now multiplying the highest exponent prime factors to calculate the LCM of 29478 and 29483.

LCM(29478,29483) = 21 × 31 × 173 × 294831
LCM(29478,29483) = 869099874