What is the Least Common Multiple of 16922 and 16927?
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 16922 and 16927 is 286438694.
LCM(16922,16927) = 286438694
Least Common Multiple of 16922 and 16927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16922 and 16927, than apply into the LCM equation.
GCF(16922,16927) = 1
LCM(16922,16927) = ( 16922 × 16927) / 1
LCM(16922,16927) = 286438694 / 1
LCM(16922,16927) = 286438694
Least Common Multiple (LCM) of 16922 and 16927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16922 and 16927. First we will calculate the prime factors of 16922 and 16927.
Prime Factorization of 16922
Prime factors of 16922 are 2, 8461. Prime factorization of 16922 in exponential form is:
16922 = 21 × 84611
Prime Factorization of 16927
Prime factors of 16927 are 16927. Prime factorization of 16927 in exponential form is:
16927 = 169271
Now multiplying the highest exponent prime factors to calculate the LCM of 16922 and 16927.
LCM(16922,16927) = 21 × 84611 × 169271
LCM(16922,16927) = 286438694
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