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What is the Least Common Multiple of 29846 and 29858?

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 29858 is 445570934.

LCM(29846,29858) = 445570934

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Least Common Multiple of 29846 and 29858 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 29858, than apply into the LCM equation.

GCF(29846,29858) = 2
LCM(29846,29858) = ( 29846 × 29858) / 2
LCM(29846,29858) = 891141868 / 2
LCM(29846,29858) = 445570934

Least Common Multiple (LCM) of 29846 and 29858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29846 and 29858. First we will calculate the prime factors of 29846 and 29858.

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 29858

Prime factors of 29858 are 2, 14929. Prime factorization of 29858 in exponential form is:

29858 = 21 × 149291

Now multiplying the highest exponent prime factors to calculate the LCM of 29846 and 29858.

LCM(29846,29858) = 21 × 149231 × 149291
LCM(29846,29858) = 445570934