Least Common Multiple (LCM) of 118 and 151
The least common multiple (LCM) of 118 and 151 is 17818.
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 151?
First, calculate the GCD of 118 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 151 = 0 remainder 118 |
| 2 | 151 ÷ 118 = 1 remainder 33 |
| 3 | 118 ÷ 33 = 3 remainder 19 |
| 4 | 33 ÷ 19 = 1 remainder 14 |
| 5 | 19 ÷ 14 = 1 remainder 5 |
| 6 | 14 ÷ 5 = 2 remainder 4 |
| 7 | 5 ÷ 4 = 1 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 51 | 204 |
| 112 and 180 | 5040 |
| 62 and 144 | 4464 |
| 71 and 113 | 8023 |
| 140 and 151 | 21140 |