Least Common Multiple (LCM) of 37 and 188
The least common multiple (LCM) of 37 and 188 is 6956.
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 37 and 188?
First, calculate the GCD of 37 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 188 = 0 remainder 37 |
| 2 | 188 ÷ 37 = 5 remainder 3 |
| 3 | 37 ÷ 3 = 12 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 189 | 13419 |
| 35 and 146 | 5110 |
| 114 and 12 | 228 |
| 137 and 31 | 4247 |
| 192 and 110 | 10560 |