What is the Least Common Multiple of 29787 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 29787 and 29803 is 887741961.
LCM(29787,29803) = 887741961
Least Common Multiple of 29787 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 29787 and 29803, than apply into the LCM equation.
GCF(29787,29803) = 1
LCM(29787,29803) = ( 29787 × 29803) / 1
LCM(29787,29803) = 887741961 / 1
LCM(29787,29803) = 887741961
Least Common Multiple (LCM) of 29787 and 29803 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29787 and 29803. First we will calculate the prime factors of 29787 and 29803.
Prime Factorization of 29787
Prime factors of 29787 are 3, 9929. Prime factorization of 29787 in exponential form is:
29787 = 31 × 99291
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 29787 and 29803.
LCM(29787,29803) = 31 × 99291 × 298031
LCM(29787,29803) = 887741961
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