What is the Least Common Multiple of 16328 and 16335?
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 16328 and 16335 is 266717880.
LCM(16328,16335) = 266717880
Least Common Multiple of 16328 and 16335 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16328 and 16335, than apply into the LCM equation.
GCF(16328,16335) = 1
LCM(16328,16335) = ( 16328 × 16335) / 1
LCM(16328,16335) = 266717880 / 1
LCM(16328,16335) = 266717880
Least Common Multiple (LCM) of 16328 and 16335 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16328 and 16335. First we will calculate the prime factors of 16328 and 16335.
Prime Factorization of 16328
Prime factors of 16328 are 2, 13, 157. Prime factorization of 16328 in exponential form is:
16328 = 23 × 131 × 1571
Prime Factorization of 16335
Prime factors of 16335 are 3, 5, 11. Prime factorization of 16335 in exponential form is:
16335 = 33 × 51 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 16328 and 16335.
LCM(16328,16335) = 23 × 131 × 1571 × 33 × 51 × 112
LCM(16328,16335) = 266717880
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