What is the Least Common Multiple of 16651 and 16655?
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 16651 and 16655 is 277322405.
LCM(16651,16655) = 277322405
Least Common Multiple of 16651 and 16655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16651 and 16655, than apply into the LCM equation.
GCF(16651,16655) = 1
LCM(16651,16655) = ( 16651 × 16655) / 1
LCM(16651,16655) = 277322405 / 1
LCM(16651,16655) = 277322405
Least Common Multiple (LCM) of 16651 and 16655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16651 and 16655. First we will calculate the prime factors of 16651 and 16655.
Prime Factorization of 16651
Prime factors of 16651 are 16651. Prime factorization of 16651 in exponential form is:
16651 = 166511
Prime Factorization of 16655
Prime factors of 16655 are 5, 3331. Prime factorization of 16655 in exponential form is:
16655 = 51 × 33311
Now multiplying the highest exponent prime factors to calculate the LCM of 16651 and 16655.
LCM(16651,16655) = 166511 × 51 × 33311
LCM(16651,16655) = 277322405
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