Least Common Multiple (LCM) of 162 and 124
The least common multiple (LCM) of 162 and 124 is 10044.
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 162 and 124?
First, calculate the GCD of 162 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 124 = 1 remainder 38 |
| 2 | 124 ÷ 38 = 3 remainder 10 |
| 3 | 38 ÷ 10 = 3 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 182 | 4004 |
| 111 and 21 | 777 |
| 140 and 194 | 13580 |
| 142 and 128 | 9088 |
| 141 and 144 | 6768 |