Least Common Multiple (LCM) of 119 and 29
The least common multiple (LCM) of 119 and 29 is 3451.
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 119 and 29?
First, calculate the GCD of 119 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 29 = 4 remainder 3 |
| 2 | 29 ÷ 3 = 9 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 186 | 8742 |
| 76 and 86 | 3268 |
| 21 and 114 | 798 |
| 130 and 80 | 1040 |
| 158 and 70 | 5530 |