Least Common Multiple (LCM) of 151 and 132
The least common multiple (LCM) of 151 and 132 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 151 and 132?
First, calculate the GCD of 151 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 132 = 1 remainder 19 |
| 2 | 132 ÷ 19 = 6 remainder 18 |
| 3 | 19 ÷ 18 = 1 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 151 | 21895 |
| 120 and 119 | 14280 |
| 132 and 152 | 5016 |
| 168 and 56 | 168 |
| 195 and 121 | 23595 |