Least Common Multiple (LCM) of 69 and 158
The least common multiple (LCM) of 69 and 158 is 10902.
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 69 and 158?
First, calculate the GCD of 69 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 158 = 0 remainder 69 |
| 2 | 158 ÷ 69 = 2 remainder 20 |
| 3 | 69 ÷ 20 = 3 remainder 9 |
| 4 | 20 ÷ 9 = 2 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 140 | 16940 |
| 187 and 112 | 20944 |
| 120 and 136 | 2040 |
| 171 and 20 | 3420 |
| 111 and 52 | 5772 |