Least Common Multiple (LCM) of 118 and 29
The least common multiple (LCM) of 118 and 29 is 3422.
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 118 and 29?
First, calculate the GCD of 118 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 29 = 4 remainder 2 |
| 2 | 29 ÷ 2 = 14 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 47 | 2115 |
| 63 and 56 | 504 |
| 115 and 125 | 2875 |
| 12 and 11 | 132 |
| 30 and 124 | 1860 |