Least Common Multiple (LCM) of 136 and 148
The least common multiple (LCM) of 136 and 148 is 5032.
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 136 and 148?
First, calculate the GCD of 136 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 148 = 0 remainder 136 |
| 2 | 148 ÷ 136 = 1 remainder 12 |
| 3 | 136 ÷ 12 = 11 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 164 | 4100 |
| 154 and 183 | 28182 |
| 69 and 74 | 5106 |
| 177 and 44 | 7788 |
| 71 and 199 | 14129 |