Least Common Multiple (LCM) of 117 and 37
The least common multiple (LCM) of 117 and 37 is 4329.
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 117 and 37?
First, calculate the GCD of 117 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 37 = 3 remainder 6 |
| 2 | 37 ÷ 6 = 6 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 52 | 3484 |
| 110 and 83 | 9130 |
| 49 and 178 | 8722 |
| 199 and 76 | 15124 |
| 29 and 130 | 3770 |