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What is the Least Common Multiple of 94832 and 94836?

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 94832 and 94836 is 2248371888.

LCM(94832,94836) = 2248371888

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Least Common Multiple of 94832 and 94836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94832 and 94836, than apply into the LCM equation.

GCF(94832,94836) = 4
LCM(94832,94836) = ( 94832 × 94836) / 4
LCM(94832,94836) = 8993487552 / 4
LCM(94832,94836) = 2248371888

Least Common Multiple (LCM) of 94832 and 94836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94832 and 94836. First we will calculate the prime factors of 94832 and 94836.

Prime Factorization of 94832

Prime factors of 94832 are 2, 5927. Prime factorization of 94832 in exponential form is:

94832 = 24 × 59271

Prime Factorization of 94836

Prime factors of 94836 are 2, 3, 7, 1129. Prime factorization of 94836 in exponential form is:

94836 = 22 × 31 × 71 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 94832 and 94836.

LCM(94832,94836) = 24 × 59271 × 31 × 71 × 11291
LCM(94832,94836) = 2248371888