What is the Least Common Multiple of 16915 and 16929?
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 16915 and 16929 is 286354035.
LCM(16915,16929) = 286354035
Least Common Multiple of 16915 and 16929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16915 and 16929, than apply into the LCM equation.
GCF(16915,16929) = 1
LCM(16915,16929) = ( 16915 × 16929) / 1
LCM(16915,16929) = 286354035 / 1
LCM(16915,16929) = 286354035
Least Common Multiple (LCM) of 16915 and 16929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16915 and 16929. First we will calculate the prime factors of 16915 and 16929.
Prime Factorization of 16915
Prime factors of 16915 are 5, 17, 199. Prime factorization of 16915 in exponential form is:
16915 = 51 × 171 × 1991
Prime Factorization of 16929
Prime factors of 16929 are 3, 11, 19. Prime factorization of 16929 in exponential form is:
16929 = 34 × 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 16915 and 16929.
LCM(16915,16929) = 51 × 171 × 1991 × 34 × 111 × 191
LCM(16915,16929) = 286354035
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