Least Common Multiple (LCM) of 16 and 59
The least common multiple (LCM) of 16 and 59 is 944.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 16 and 59?
First, calculate the GCD of 16 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 59 = 0 remainder 16 |
| 2 | 59 ÷ 16 = 3 remainder 11 |
| 3 | 16 ÷ 11 = 1 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 76 | 1900 |
| 169 and 45 | 7605 |
| 37 and 109 | 4033 |
| 34 and 170 | 170 |
| 164 and 61 | 10004 |