What is the Least Common Multiple of 16909 and 16916?
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 16909 and 16916 is 286032644.
LCM(16909,16916) = 286032644
Least Common Multiple of 16909 and 16916 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16909 and 16916, than apply into the LCM equation.
GCF(16909,16916) = 1
LCM(16909,16916) = ( 16909 × 16916) / 1
LCM(16909,16916) = 286032644 / 1
LCM(16909,16916) = 286032644
Least Common Multiple (LCM) of 16909 and 16916 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16909 and 16916. First we will calculate the prime factors of 16909 and 16916.
Prime Factorization of 16909
Prime factors of 16909 are 37, 457. Prime factorization of 16909 in exponential form is:
16909 = 371 × 4571
Prime Factorization of 16916
Prime factors of 16916 are 2, 4229. Prime factorization of 16916 in exponential form is:
16916 = 22 × 42291
Now multiplying the highest exponent prime factors to calculate the LCM of 16909 and 16916.
LCM(16909,16916) = 371 × 4571 × 22 × 42291
LCM(16909,16916) = 286032644
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