Least Common Multiple (LCM) of 188 and 174
The least common multiple (LCM) of 188 and 174 is 16356.
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 188 and 174?
First, calculate the GCD of 188 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 174 = 1 remainder 14 |
| 2 | 174 ÷ 14 = 12 remainder 6 |
| 3 | 14 ÷ 6 = 2 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 93 | 10137 |
| 59 and 185 | 10915 |
| 157 and 188 | 29516 |
| 18 and 124 | 1116 |
| 136 and 21 | 2856 |