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What is the Least Common Multiple of 29784 and 29803?

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 29784 and 29803 is 887652552.

LCM(29784,29803) = 887652552

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Least Common Multiple of 29784 and 29803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29784 and 29803, than apply into the LCM equation.

GCF(29784,29803) = 1
LCM(29784,29803) = ( 29784 × 29803) / 1
LCM(29784,29803) = 887652552 / 1
LCM(29784,29803) = 887652552

Least Common Multiple (LCM) of 29784 and 29803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29784 and 29803. First we will calculate the prime factors of 29784 and 29803.

Prime Factorization of 29784

Prime factors of 29784 are 2, 3, 17, 73. Prime factorization of 29784 in exponential form is:

29784 = 23 × 31 × 171 × 731

Prime Factorization of 29803

Prime factors of 29803 are 29803. Prime factorization of 29803 in exponential form is:

29803 = 298031

Now multiplying the highest exponent prime factors to calculate the LCM of 29784 and 29803.

LCM(29784,29803) = 23 × 31 × 171 × 731 × 298031
LCM(29784,29803) = 887652552