Least Common Multiple (LCM) of 154 and 139
The least common multiple (LCM) of 154 and 139 is 21406.
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 154 and 139?
First, calculate the GCD of 154 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 139 = 1 remainder 15 |
| 2 | 139 ÷ 15 = 9 remainder 4 |
| 3 | 15 ÷ 4 = 3 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 138 | 9660 |
| 106 and 76 | 4028 |
| 90 and 149 | 13410 |
| 113 and 24 | 2712 |
| 42 and 163 | 6846 |