What is the Least Common Multiple of 17077 and 17081?
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 17077 and 17081 is 291692237.
LCM(17077,17081) = 291692237
Least Common Multiple of 17077 and 17081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17077 and 17081, than apply into the LCM equation.
GCF(17077,17081) = 1
LCM(17077,17081) = ( 17077 × 17081) / 1
LCM(17077,17081) = 291692237 / 1
LCM(17077,17081) = 291692237
Least Common Multiple (LCM) of 17077 and 17081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17077 and 17081. First we will calculate the prime factors of 17077 and 17081.
Prime Factorization of 17077
Prime factors of 17077 are 17077. Prime factorization of 17077 in exponential form is:
17077 = 170771
Prime Factorization of 17081
Prime factors of 17081 are 19, 29, 31. Prime factorization of 17081 in exponential form is:
17081 = 191 × 291 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 17077 and 17081.
LCM(17077,17081) = 170771 × 191 × 291 × 311
LCM(17077,17081) = 291692237
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