What is the Least Common Multiple of 16274 and 16289?
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 16274 and 16289 is 265087186.
LCM(16274,16289) = 265087186
Least Common Multiple of 16274 and 16289 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16274 and 16289, than apply into the LCM equation.
GCF(16274,16289) = 1
LCM(16274,16289) = ( 16274 × 16289) / 1
LCM(16274,16289) = 265087186 / 1
LCM(16274,16289) = 265087186
Least Common Multiple (LCM) of 16274 and 16289 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16274 and 16289. First we will calculate the prime factors of 16274 and 16289.
Prime Factorization of 16274
Prime factors of 16274 are 2, 79, 103. Prime factorization of 16274 in exponential form is:
16274 = 21 × 791 × 1031
Prime Factorization of 16289
Prime factors of 16289 are 7, 13, 179. Prime factorization of 16289 in exponential form is:
16289 = 71 × 131 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 16274 and 16289.
LCM(16274,16289) = 21 × 791 × 1031 × 71 × 131 × 1791
LCM(16274,16289) = 265087186
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