What is the Least Common Multiple of 16560 and 16566?
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 16560 and 16566 is 45722160.
LCM(16560,16566) = 45722160
Least Common Multiple of 16560 and 16566 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16560 and 16566, than apply into the LCM equation.
GCF(16560,16566) = 6
LCM(16560,16566) = ( 16560 × 16566) / 6
LCM(16560,16566) = 274332960 / 6
LCM(16560,16566) = 45722160
Least Common Multiple (LCM) of 16560 and 16566 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16560 and 16566. First we will calculate the prime factors of 16560 and 16566.
Prime Factorization of 16560
Prime factors of 16560 are 2, 3, 5, 23. Prime factorization of 16560 in exponential form is:
16560 = 24 × 32 × 51 × 231
Prime Factorization of 16566
Prime factors of 16566 are 2, 3, 11, 251. Prime factorization of 16566 in exponential form is:
16566 = 21 × 31 × 111 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 16560 and 16566.
LCM(16560,16566) = 24 × 32 × 51 × 231 × 111 × 2511
LCM(16560,16566) = 45722160
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