Least Common Multiple (LCM) of 147 and 136
The least common multiple (LCM) of 147 and 136 is 19992.
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 147 and 136?
First, calculate the GCD of 147 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 136 = 1 remainder 11 |
| 2 | 136 ÷ 11 = 12 remainder 4 |
| 3 | 11 ÷ 4 = 2 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 152 | 2128 |
| 11 and 54 | 594 |
| 100 and 42 | 2100 |
| 120 and 105 | 840 |
| 110 and 98 | 5390 |