What is the Least Common Multiple of 16518 and 16536?
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 16518 and 16536 is 45523608.
LCM(16518,16536) = 45523608
Least Common Multiple of 16518 and 16536 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16518 and 16536, than apply into the LCM equation.
GCF(16518,16536) = 6
LCM(16518,16536) = ( 16518 × 16536) / 6
LCM(16518,16536) = 273141648 / 6
LCM(16518,16536) = 45523608
Least Common Multiple (LCM) of 16518 and 16536 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16518 and 16536. First we will calculate the prime factors of 16518 and 16536.
Prime Factorization of 16518
Prime factors of 16518 are 2, 3, 2753. Prime factorization of 16518 in exponential form is:
16518 = 21 × 31 × 27531
Prime Factorization of 16536
Prime factors of 16536 are 2, 3, 13, 53. Prime factorization of 16536 in exponential form is:
16536 = 23 × 31 × 131 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 16518 and 16536.
LCM(16518,16536) = 23 × 31 × 27531 × 131 × 531
LCM(16518,16536) = 45523608
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