Least Common Multiple (LCM) of 113 and 151
The least common multiple (LCM) of 113 and 151 is 17063.
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 113 and 151?
First, calculate the GCD of 113 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 151 = 0 remainder 113 |
| 2 | 151 ÷ 113 = 1 remainder 38 |
| 3 | 113 ÷ 38 = 2 remainder 37 |
| 4 | 38 ÷ 37 = 1 remainder 1 |
| 5 | 37 ÷ 1 = 37 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 40 | 1640 |
| 100 and 114 | 5700 |
| 29 and 68 | 1972 |
| 60 and 37 | 2220 |
| 144 and 46 | 3312 |