Least Common Multiple (LCM) of 158 and 118
The least common multiple (LCM) of 158 and 118 is 9322.
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 158 and 118?
First, calculate the GCD of 158 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 118 = 1 remainder 40 |
| 2 | 118 ÷ 40 = 2 remainder 38 |
| 3 | 40 ÷ 38 = 1 remainder 2 |
| 4 | 38 ÷ 2 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 150 | 2400 |
| 31 and 131 | 4061 |
| 63 and 112 | 1008 |
| 133 and 26 | 3458 |
| 123 and 66 | 2706 |