What is the Least Common Multiple of 16560 and 16568?
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 16568 is 34295760.
LCM(16560,16568) = 34295760
Least Common Multiple of 16560 and 16568 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 16568, than apply into the LCM equation.
GCF(16560,16568) = 8
LCM(16560,16568) = ( 16560 × 16568) / 8
LCM(16560,16568) = 274366080 / 8
LCM(16560,16568) = 34295760
Least Common Multiple (LCM) of 16560 and 16568 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16560 and 16568. First we will calculate the prime factors of 16560 and 16568.
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 16568
Prime factors of 16568 are 2, 19, 109. Prime factorization of 16568 in exponential form is:
16568 = 23 × 191 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 16560 and 16568.
LCM(16560,16568) = 24 × 32 × 51 × 231 × 191 × 1091
LCM(16560,16568) = 34295760
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