Least Common Multiple (LCM) of 136 and 253
The least common multiple (LCM) of 136 and 253 is 34408.
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 253?
First, calculate the GCD of 136 and 253 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 253 = 0 remainder 136 |
| 2 | 253 ÷ 136 = 1 remainder 117 |
| 3 | 136 ÷ 117 = 1 remainder 19 |
| 4 | 117 ÷ 19 = 6 remainder 3 |
| 5 | 19 ÷ 3 = 6 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 18 | 1710 |
| 68 and 168 | 2856 |
| 132 and 173 | 22836 |
| 60 and 107 | 6420 |
| 70 and 111 | 7770 |