Least Common Multiple (LCM) of 101 and 124
The least common multiple (LCM) of 101 and 124 is 12524.
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 101 and 124?
First, calculate the GCD of 101 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 124 = 0 remainder 101 |
| 2 | 124 ÷ 101 = 1 remainder 23 |
| 3 | 101 ÷ 23 = 4 remainder 9 |
| 4 | 23 ÷ 9 = 2 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 64 | 1216 |
| 182 and 112 | 1456 |
| 106 and 19 | 2014 |
| 196 and 161 | 4508 |
| 91 and 90 | 8190 |