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 |
|---|---|
| 106 and 121 | 12826 |
| 66 and 27 | 594 |
| 87 and 39 | 1131 |
| 171 and 33 | 1881 |
| 183 and 184 | 33672 |