What is the Least Common Multiple of 16426 and 16433?
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 16426 and 16433 is 269928458.
LCM(16426,16433) = 269928458
Least Common Multiple of 16426 and 16433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16426 and 16433, than apply into the LCM equation.
GCF(16426,16433) = 1
LCM(16426,16433) = ( 16426 × 16433) / 1
LCM(16426,16433) = 269928458 / 1
LCM(16426,16433) = 269928458
Least Common Multiple (LCM) of 16426 and 16433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16426 and 16433. First we will calculate the prime factors of 16426 and 16433.
Prime Factorization of 16426
Prime factors of 16426 are 2, 43, 191. Prime factorization of 16426 in exponential form is:
16426 = 21 × 431 × 1911
Prime Factorization of 16433
Prime factors of 16433 are 16433. Prime factorization of 16433 in exponential form is:
16433 = 164331
Now multiplying the highest exponent prime factors to calculate the LCM of 16426 and 16433.
LCM(16426,16433) = 21 × 431 × 1911 × 164331
LCM(16426,16433) = 269928458
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Related Least Common Multiples of 16433
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