Least Common Multiple (LCM) of 124 and 169
The least common multiple (LCM) of 124 and 169 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 124 and 169?
First, calculate the GCD of 124 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 169 = 0 remainder 124 |
| 2 | 169 ÷ 124 = 1 remainder 45 |
| 3 | 124 ÷ 45 = 2 remainder 34 |
| 4 | 45 ÷ 34 = 1 remainder 11 |
| 5 | 34 ÷ 11 = 3 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 63 | 1260 |
| 16 and 137 | 2192 |
| 39 and 80 | 3120 |
| 163 and 127 | 20701 |
| 161 and 52 | 8372 |