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What is the Least Common Multiple of 29864 and 29876?

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 29864 and 29876 is 223054216.

LCM(29864,29876) = 223054216

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Least Common Multiple of 29864 and 29876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29864 and 29876, than apply into the LCM equation.

GCF(29864,29876) = 4
LCM(29864,29876) = ( 29864 × 29876) / 4
LCM(29864,29876) = 892216864 / 4
LCM(29864,29876) = 223054216

Least Common Multiple (LCM) of 29864 and 29876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29864 and 29876. First we will calculate the prime factors of 29864 and 29876.

Prime Factorization of 29864

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

29864 = 23 × 37331

Prime Factorization of 29876

Prime factors of 29876 are 2, 7, 11, 97. Prime factorization of 29876 in exponential form is:

29876 = 22 × 71 × 111 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 29864 and 29876.

LCM(29864,29876) = 23 × 37331 × 71 × 111 × 971
LCM(29864,29876) = 223054216