What is the Least Common Multiple of 16285 and 16292?
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 16285 and 16292 is 265315220.
LCM(16285,16292) = 265315220
Least Common Multiple of 16285 and 16292 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16285 and 16292, than apply into the LCM equation.
GCF(16285,16292) = 1
LCM(16285,16292) = ( 16285 × 16292) / 1
LCM(16285,16292) = 265315220 / 1
LCM(16285,16292) = 265315220
Least Common Multiple (LCM) of 16285 and 16292 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16285 and 16292. First we will calculate the prime factors of 16285 and 16292.
Prime Factorization of 16285
Prime factors of 16285 are 5, 3257. Prime factorization of 16285 in exponential form is:
16285 = 51 × 32571
Prime Factorization of 16292
Prime factors of 16292 are 2, 4073. Prime factorization of 16292 in exponential form is:
16292 = 22 × 40731
Now multiplying the highest exponent prime factors to calculate the LCM of 16285 and 16292.
LCM(16285,16292) = 51 × 32571 × 22 × 40731
LCM(16285,16292) = 265315220
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