What is the Least Common Multiple of 16322 and 16341?
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 16322 and 16341 is 266717802.
LCM(16322,16341) = 266717802
Least Common Multiple of 16322 and 16341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16322 and 16341, than apply into the LCM equation.
GCF(16322,16341) = 1
LCM(16322,16341) = ( 16322 × 16341) / 1
LCM(16322,16341) = 266717802 / 1
LCM(16322,16341) = 266717802
Least Common Multiple (LCM) of 16322 and 16341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16322 and 16341. First we will calculate the prime factors of 16322 and 16341.
Prime Factorization of 16322
Prime factors of 16322 are 2, 8161. Prime factorization of 16322 in exponential form is:
16322 = 21 × 81611
Prime Factorization of 16341
Prime factors of 16341 are 3, 13, 419. Prime factorization of 16341 in exponential form is:
16341 = 31 × 131 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 16322 and 16341.
LCM(16322,16341) = 21 × 81611 × 31 × 131 × 4191
LCM(16322,16341) = 266717802
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