Least Common Multiple (LCM) of 136 and 200
The least common multiple (LCM) of 136 and 200 is 3400.
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 200?
First, calculate the GCD of 136 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 200 = 0 remainder 136 |
| 2 | 200 ÷ 136 = 1 remainder 64 |
| 3 | 136 ÷ 64 = 2 remainder 8 |
| 4 | 64 ÷ 8 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 160 | 28960 |
| 165 and 98 | 16170 |
| 76 and 155 | 11780 |
| 111 and 14 | 1554 |
| 74 and 170 | 6290 |