What is the Least Common Multiple of 17807 and 17813?
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 17807 and 17813 is 317196091.
LCM(17807,17813) = 317196091
Least Common Multiple of 17807 and 17813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17807 and 17813, than apply into the LCM equation.
GCF(17807,17813) = 1
LCM(17807,17813) = ( 17807 × 17813) / 1
LCM(17807,17813) = 317196091 / 1
LCM(17807,17813) = 317196091
Least Common Multiple (LCM) of 17807 and 17813 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17807 and 17813. First we will calculate the prime factors of 17807 and 17813.
Prime Factorization of 17807
Prime factors of 17807 are 17807. Prime factorization of 17807 in exponential form is:
17807 = 178071
Prime Factorization of 17813
Prime factors of 17813 are 47, 379. Prime factorization of 17813 in exponential form is:
17813 = 471 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 17807 and 17813.
LCM(17807,17813) = 178071 × 471 × 3791
LCM(17807,17813) = 317196091
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Related Least Common Multiples of 17813
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