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What is the Least Common Multiple of 29846 and 29851?

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 29846 and 29851 is 890932946.

LCM(29846,29851) = 890932946

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Least Common Multiple of 29846 and 29851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29846 and 29851, than apply into the LCM equation.

GCF(29846,29851) = 1
LCM(29846,29851) = ( 29846 × 29851) / 1
LCM(29846,29851) = 890932946 / 1
LCM(29846,29851) = 890932946

Least Common Multiple (LCM) of 29846 and 29851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29846 and 29851. First we will calculate the prime factors of 29846 and 29851.

Prime Factorization of 29846

Prime factors of 29846 are 2, 14923. Prime factorization of 29846 in exponential form is:

29846 = 21 × 149231

Prime Factorization of 29851

Prime factors of 29851 are 29851. Prime factorization of 29851 in exponential form is:

29851 = 298511

Now multiplying the highest exponent prime factors to calculate the LCM of 29846 and 29851.

LCM(29846,29851) = 21 × 149231 × 298511
LCM(29846,29851) = 890932946