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 |
|---|---|
| 154 and 83 | 12782 |
| 157 and 134 | 21038 |
| 146 and 167 | 24382 |
| 67 and 166 | 11122 |
| 33 and 44 | 132 |