What is the Least Common Multiple of 10717 and 10727?
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 10717 and 10727 is 114961259.
LCM(10717,10727) = 114961259
Least Common Multiple of 10717 and 10727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10717 and 10727, than apply into the LCM equation.
GCF(10717,10727) = 1
LCM(10717,10727) = ( 10717 × 10727) / 1
LCM(10717,10727) = 114961259 / 1
LCM(10717,10727) = 114961259
Least Common Multiple (LCM) of 10717 and 10727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10717 and 10727. First we will calculate the prime factors of 10717 and 10727.
Prime Factorization of 10717
Prime factors of 10717 are 7, 1531. Prime factorization of 10717 in exponential form is:
10717 = 71 × 15311
Prime Factorization of 10727
Prime factors of 10727 are 17, 631. Prime factorization of 10727 in exponential form is:
10727 = 171 × 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 10717 and 10727.
LCM(10717,10727) = 71 × 15311 × 171 × 6311
LCM(10717,10727) = 114961259
Related Least Common Multiples of 10717
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Related Least Common Multiples of 10727
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- LCM of 10727 and 10732
- LCM of 10727 and 10733
- LCM of 10727 and 10734
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