Least Common Multiple (LCM) of 158 and 84
The least common multiple (LCM) of 158 and 84 is 6636.
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 84?
First, calculate the GCD of 158 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 84 = 1 remainder 74 |
| 2 | 84 ÷ 74 = 1 remainder 10 |
| 3 | 74 ÷ 10 = 7 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 145 | 23055 |
| 178 and 141 | 25098 |
| 141 and 172 | 24252 |
| 93 and 125 | 11625 |
| 115 and 192 | 22080 |