Least Common Multiple (LCM) of 114 and 37
The least common multiple (LCM) of 114 and 37 is 4218.
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 114 and 37?
First, calculate the GCD of 114 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 37 = 3 remainder 3 |
| 2 | 37 ÷ 3 = 12 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 120 | 3720 |
| 62 and 152 | 4712 |
| 142 and 130 | 9230 |
| 121 and 88 | 968 |
| 86 and 186 | 7998 |