What is the Least Common Multiple of 16335 and 16352?
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 16335 and 16352 is 267109920.
LCM(16335,16352) = 267109920
Least Common Multiple of 16335 and 16352 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16335 and 16352, than apply into the LCM equation.
GCF(16335,16352) = 1
LCM(16335,16352) = ( 16335 × 16352) / 1
LCM(16335,16352) = 267109920 / 1
LCM(16335,16352) = 267109920
Least Common Multiple (LCM) of 16335 and 16352 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16335 and 16352. First we will calculate the prime factors of 16335 and 16352.
Prime Factorization of 16335
Prime factors of 16335 are 3, 5, 11. Prime factorization of 16335 in exponential form is:
16335 = 33 × 51 × 112
Prime Factorization of 16352
Prime factors of 16352 are 2, 7, 73. Prime factorization of 16352 in exponential form is:
16352 = 25 × 71 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 16335 and 16352.
LCM(16335,16352) = 33 × 51 × 112 × 25 × 71 × 731
LCM(16335,16352) = 267109920
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