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What is the Least Common Multiple of 29878 and 29883?

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 29878 and 29883 is 892844274.

LCM(29878,29883) = 892844274

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Least Common Multiple of 29878 and 29883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29878 and 29883, than apply into the LCM equation.

GCF(29878,29883) = 1
LCM(29878,29883) = ( 29878 × 29883) / 1
LCM(29878,29883) = 892844274 / 1
LCM(29878,29883) = 892844274

Least Common Multiple (LCM) of 29878 and 29883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29878 and 29883. First we will calculate the prime factors of 29878 and 29883.

Prime Factorization of 29878

Prime factors of 29878 are 2, 14939. Prime factorization of 29878 in exponential form is:

29878 = 21 × 149391

Prime Factorization of 29883

Prime factors of 29883 are 3, 7, 1423. Prime factorization of 29883 in exponential form is:

29883 = 31 × 71 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 29878 and 29883.

LCM(29878,29883) = 21 × 149391 × 31 × 71 × 14231
LCM(29878,29883) = 892844274