What is the Least Common Multiple of 16411 and 16426?
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 16411 and 16426 is 269567086.
LCM(16411,16426) = 269567086
Least Common Multiple of 16411 and 16426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16411 and 16426, than apply into the LCM equation.
GCF(16411,16426) = 1
LCM(16411,16426) = ( 16411 × 16426) / 1
LCM(16411,16426) = 269567086 / 1
LCM(16411,16426) = 269567086
Least Common Multiple (LCM) of 16411 and 16426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16411 and 16426. First we will calculate the prime factors of 16411 and 16426.
Prime Factorization of 16411
Prime factors of 16411 are 16411. Prime factorization of 16411 in exponential form is:
16411 = 164111
Prime Factorization of 16426
Prime factors of 16426 are 2, 43, 191. Prime factorization of 16426 in exponential form is:
16426 = 21 × 431 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 16411 and 16426.
LCM(16411,16426) = 164111 × 21 × 431 × 1911
LCM(16411,16426) = 269567086
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