What is the Least Common Multiple of 16296 and 16312?
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 16296 and 16312 is 33227544.
LCM(16296,16312) = 33227544
Least Common Multiple of 16296 and 16312 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16296 and 16312, than apply into the LCM equation.
GCF(16296,16312) = 8
LCM(16296,16312) = ( 16296 × 16312) / 8
LCM(16296,16312) = 265820352 / 8
LCM(16296,16312) = 33227544
Least Common Multiple (LCM) of 16296 and 16312 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16296 and 16312. First we will calculate the prime factors of 16296 and 16312.
Prime Factorization of 16296
Prime factors of 16296 are 2, 3, 7, 97. Prime factorization of 16296 in exponential form is:
16296 = 23 × 31 × 71 × 971
Prime Factorization of 16312
Prime factors of 16312 are 2, 2039. Prime factorization of 16312 in exponential form is:
16312 = 23 × 20391
Now multiplying the highest exponent prime factors to calculate the LCM of 16296 and 16312.
LCM(16296,16312) = 23 × 31 × 71 × 971 × 20391
LCM(16296,16312) = 33227544
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