Least Common Multiple (LCM) of 147 and 69
The least common multiple (LCM) of 147 and 69 is 3381.
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 69?
First, calculate the GCD of 147 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 69 = 2 remainder 9 |
| 2 | 69 ÷ 9 = 7 remainder 6 |
| 3 | 9 ÷ 6 = 1 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 13 | 2301 |
| 136 and 135 | 18360 |
| 141 and 182 | 25662 |
| 149 and 92 | 13708 |
| 74 and 134 | 4958 |