What is the Least Common Multiple of 16278 and 16287?
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 16278 and 16287 is 88373262.
LCM(16278,16287) = 88373262
Least Common Multiple of 16278 and 16287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16278 and 16287, than apply into the LCM equation.
GCF(16278,16287) = 3
LCM(16278,16287) = ( 16278 × 16287) / 3
LCM(16278,16287) = 265119786 / 3
LCM(16278,16287) = 88373262
Least Common Multiple (LCM) of 16278 and 16287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16278 and 16287. First we will calculate the prime factors of 16278 and 16287.
Prime Factorization of 16278
Prime factors of 16278 are 2, 3, 2713. Prime factorization of 16278 in exponential form is:
16278 = 21 × 31 × 27131
Prime Factorization of 16287
Prime factors of 16287 are 3, 61, 89. Prime factorization of 16287 in exponential form is:
16287 = 31 × 611 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 16278 and 16287.
LCM(16278,16287) = 21 × 31 × 27131 × 611 × 891
LCM(16278,16287) = 88373262
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