What is the Least Common Multiple of 10701 and 10717?
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 10701 and 10717 is 114682617.
LCM(10701,10717) = 114682617
Least Common Multiple of 10701 and 10717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10701 and 10717, than apply into the LCM equation.
GCF(10701,10717) = 1
LCM(10701,10717) = ( 10701 × 10717) / 1
LCM(10701,10717) = 114682617 / 1
LCM(10701,10717) = 114682617
Least Common Multiple (LCM) of 10701 and 10717 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10701 and 10717. First we will calculate the prime factors of 10701 and 10717.
Prime Factorization of 10701
Prime factors of 10701 are 3, 29, 41. Prime factorization of 10701 in exponential form is:
10701 = 32 × 291 × 411
Prime Factorization of 10717
Prime factors of 10717 are 7, 1531. Prime factorization of 10717 in exponential form is:
10717 = 71 × 15311
Now multiplying the highest exponent prime factors to calculate the LCM of 10701 and 10717.
LCM(10701,10717) = 32 × 291 × 411 × 71 × 15311
LCM(10701,10717) = 114682617
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