Least Common Multiple (LCM) of 169 and 124
The least common multiple (LCM) of 169 and 124 is 20956.
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 169 and 124?
First, calculate the GCD of 169 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 124 = 1 remainder 45 |
| 2 | 124 ÷ 45 = 2 remainder 34 |
| 3 | 45 ÷ 34 = 1 remainder 11 |
| 4 | 34 ÷ 11 = 3 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 180 | 8820 |
| 30 and 87 | 870 |
| 51 and 121 | 6171 |
| 75 and 100 | 300 |
| 139 and 31 | 4309 |