What is the Least Common Multiple of 16645 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 16645 and 16655 is 55444495.
LCM(16645,16655) = 55444495
Least Common Multiple of 16645 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 16645 and 16655, than apply into the LCM equation.
GCF(16645,16655) = 5
LCM(16645,16655) = ( 16645 × 16655) / 5
LCM(16645,16655) = 277222475 / 5
LCM(16645,16655) = 55444495
Least Common Multiple (LCM) of 16645 and 16655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16645 and 16655. First we will calculate the prime factors of 16645 and 16655.
Prime Factorization of 16645
Prime factors of 16645 are 5, 3329. Prime factorization of 16645 in exponential form is:
16645 = 51 × 33291
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 16645 and 16655.
LCM(16645,16655) = 51 × 33291 × 33311
LCM(16645,16655) = 55444495
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