Least Common Multiple (LCM) of 151 and 188
The least common multiple (LCM) of 151 and 188 is 28388.
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 151 and 188?
First, calculate the GCD of 151 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 188 = 0 remainder 151 |
| 2 | 188 ÷ 151 = 1 remainder 37 |
| 3 | 151 ÷ 37 = 4 remainder 3 |
| 4 | 37 ÷ 3 = 12 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 43 | 4558 |
| 26 and 116 | 1508 |
| 86 and 125 | 10750 |
| 130 and 103 | 13390 |
| 32 and 57 | 1824 |