Least Common Multiple (LCM) of 137 and 160
The least common multiple (LCM) of 137 and 160 is 21920.
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 137 and 160?
First, calculate the GCD of 137 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 160 = 0 remainder 137 |
| 2 | 160 ÷ 137 = 1 remainder 23 |
| 3 | 137 ÷ 23 = 5 remainder 22 |
| 4 | 23 ÷ 22 = 1 remainder 1 |
| 5 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 73 | 3942 |
| 148 and 43 | 6364 |
| 159 and 10 | 1590 |
| 40 and 12 | 120 |
| 45 and 142 | 6390 |