What is the Least Common Multiple of 16444 and 16460?
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 16444 and 16460 is 67667060.
LCM(16444,16460) = 67667060
Least Common Multiple of 16444 and 16460 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16444 and 16460, than apply into the LCM equation.
GCF(16444,16460) = 4
LCM(16444,16460) = ( 16444 × 16460) / 4
LCM(16444,16460) = 270668240 / 4
LCM(16444,16460) = 67667060
Least Common Multiple (LCM) of 16444 and 16460 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16444 and 16460. First we will calculate the prime factors of 16444 and 16460.
Prime Factorization of 16444
Prime factors of 16444 are 2, 4111. Prime factorization of 16444 in exponential form is:
16444 = 22 × 41111
Prime Factorization of 16460
Prime factors of 16460 are 2, 5, 823. Prime factorization of 16460 in exponential form is:
16460 = 22 × 51 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 16444 and 16460.
LCM(16444,16460) = 22 × 41111 × 51 × 8231
LCM(16444,16460) = 67667060
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