What is the Least Common Multiple of 16441 and 16451?
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 16441 and 16451 is 270470891.
LCM(16441,16451) = 270470891
Least Common Multiple of 16441 and 16451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16441 and 16451, than apply into the LCM equation.
GCF(16441,16451) = 1
LCM(16441,16451) = ( 16441 × 16451) / 1
LCM(16441,16451) = 270470891 / 1
LCM(16441,16451) = 270470891
Least Common Multiple (LCM) of 16441 and 16451 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16441 and 16451. First we will calculate the prime factors of 16441 and 16451.
Prime Factorization of 16441
Prime factors of 16441 are 41, 401. Prime factorization of 16441 in exponential form is:
16441 = 411 × 4011
Prime Factorization of 16451
Prime factors of 16451 are 16451. Prime factorization of 16451 in exponential form is:
16451 = 164511
Now multiplying the highest exponent prime factors to calculate the LCM of 16441 and 16451.
LCM(16441,16451) = 411 × 4011 × 164511
LCM(16441,16451) = 270470891
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