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What is the Least Common Multiple of 29865 and 29879?

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 29865 and 29879 is 892336335.

LCM(29865,29879) = 892336335

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Least Common Multiple of 29865 and 29879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29865 and 29879, than apply into the LCM equation.

GCF(29865,29879) = 1
LCM(29865,29879) = ( 29865 × 29879) / 1
LCM(29865,29879) = 892336335 / 1
LCM(29865,29879) = 892336335

Least Common Multiple (LCM) of 29865 and 29879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29865 and 29879. First we will calculate the prime factors of 29865 and 29879.

Prime Factorization of 29865

Prime factors of 29865 are 3, 5, 11, 181. Prime factorization of 29865 in exponential form is:

29865 = 31 × 51 × 111 × 1811

Prime Factorization of 29879

Prime factors of 29879 are 29879. Prime factorization of 29879 in exponential form is:

29879 = 298791

Now multiplying the highest exponent prime factors to calculate the LCM of 29865 and 29879.

LCM(29865,29879) = 31 × 51 × 111 × 1811 × 298791
LCM(29865,29879) = 892336335