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What is the Least Common Multiple of 29847 and 29857?

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 29847 and 29857 is 891141879.

LCM(29847,29857) = 891141879

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Least Common Multiple of 29847 and 29857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29847 and 29857, than apply into the LCM equation.

GCF(29847,29857) = 1
LCM(29847,29857) = ( 29847 × 29857) / 1
LCM(29847,29857) = 891141879 / 1
LCM(29847,29857) = 891141879

Least Common Multiple (LCM) of 29847 and 29857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29847 and 29857. First we will calculate the prime factors of 29847 and 29857.

Prime Factorization of 29847

Prime factors of 29847 are 3, 9949. Prime factorization of 29847 in exponential form is:

29847 = 31 × 99491

Prime Factorization of 29857

Prime factors of 29857 are 73, 409. Prime factorization of 29857 in exponential form is:

29857 = 731 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 29847 and 29857.

LCM(29847,29857) = 31 × 99491 × 731 × 4091
LCM(29847,29857) = 891141879