What is the Least Common Multiple of 17747 and 17751?
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 17747 and 17751 is 315026997.
LCM(17747,17751) = 315026997
Least Common Multiple of 17747 and 17751 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17747 and 17751, than apply into the LCM equation.
GCF(17747,17751) = 1
LCM(17747,17751) = ( 17747 × 17751) / 1
LCM(17747,17751) = 315026997 / 1
LCM(17747,17751) = 315026997
Least Common Multiple (LCM) of 17747 and 17751 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17747 and 17751. First we will calculate the prime factors of 17747 and 17751.
Prime Factorization of 17747
Prime factors of 17747 are 17747. Prime factorization of 17747 in exponential form is:
17747 = 177471
Prime Factorization of 17751
Prime factors of 17751 are 3, 61, 97. Prime factorization of 17751 in exponential form is:
17751 = 31 × 611 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 17747 and 17751.
LCM(17747,17751) = 177471 × 31 × 611 × 971
LCM(17747,17751) = 315026997
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