What is the Least Common Multiple of 10606 and 10611?
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 10606 and 10611 is 112540266.
LCM(10606,10611) = 112540266
Least Common Multiple of 10606 and 10611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10606 and 10611, than apply into the LCM equation.
GCF(10606,10611) = 1
LCM(10606,10611) = ( 10606 × 10611) / 1
LCM(10606,10611) = 112540266 / 1
LCM(10606,10611) = 112540266
Least Common Multiple (LCM) of 10606 and 10611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10606 and 10611. First we will calculate the prime factors of 10606 and 10611.
Prime Factorization of 10606
Prime factors of 10606 are 2, 5303. Prime factorization of 10606 in exponential form is:
10606 = 21 × 53031
Prime Factorization of 10611
Prime factors of 10611 are 3, 131. Prime factorization of 10611 in exponential form is:
10611 = 34 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 10606 and 10611.
LCM(10606,10611) = 21 × 53031 × 34 × 1311
LCM(10606,10611) = 112540266
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Related Least Common Multiples of 10611
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