Least Common Multiple (LCM) of 132 and 151
The least common multiple (LCM) of 132 and 151 is 19932.
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 132 and 151?
First, calculate the GCD of 132 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 151 = 0 remainder 132 |
| 2 | 151 ÷ 132 = 1 remainder 19 |
| 3 | 132 ÷ 19 = 6 remainder 18 |
| 4 | 19 ÷ 18 = 1 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 116 | 6380 |
| 175 and 47 | 8225 |
| 155 and 166 | 25730 |
| 104 and 29 | 3016 |
| 149 and 50 | 7450 |