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What is the Least Common Multiple of 29857 and 29864?

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 29857 and 29864 is 891649448.

LCM(29857,29864) = 891649448

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Least Common Multiple of 29857 and 29864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29857 and 29864, than apply into the LCM equation.

GCF(29857,29864) = 1
LCM(29857,29864) = ( 29857 × 29864) / 1
LCM(29857,29864) = 891649448 / 1
LCM(29857,29864) = 891649448

Least Common Multiple (LCM) of 29857 and 29864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29857 and 29864. First we will calculate the prime factors of 29857 and 29864.

Prime Factorization of 29857

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

29857 = 731 × 4091

Prime Factorization of 29864

Prime factors of 29864 are 2, 3733. Prime factorization of 29864 in exponential form is:

29864 = 23 × 37331

Now multiplying the highest exponent prime factors to calculate the LCM of 29857 and 29864.

LCM(29857,29864) = 731 × 4091 × 23 × 37331
LCM(29857,29864) = 891649448