Least Common Multiple (LCM) of 88 and 158
The least common multiple (LCM) of 88 and 158 is 6952.
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 88 and 158?
First, calculate the GCD of 88 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 158 = 0 remainder 88 |
| 2 | 158 ÷ 88 = 1 remainder 70 |
| 3 | 88 ÷ 70 = 1 remainder 18 |
| 4 | 70 ÷ 18 = 3 remainder 16 |
| 5 | 18 ÷ 16 = 1 remainder 2 |
| 6 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 102 | 1836 |
| 200 and 107 | 21400 |
| 183 and 134 | 24522 |
| 193 and 11 | 2123 |
| 37 and 117 | 4329 |