Least Common Multiple (LCM) of 153 and 162
The least common multiple (LCM) of 153 and 162 is 2754.
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 153 and 162?
First, calculate the GCD of 153 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 162 = 0 remainder 153 |
| 2 | 162 ÷ 153 = 1 remainder 9 |
| 3 | 153 ÷ 9 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 138 | 2760 |
| 190 and 140 | 2660 |
| 179 and 80 | 14320 |
| 134 and 43 | 5762 |
| 86 and 76 | 3268 |