Least Common Multiple (LCM) of 153 and 68
The least common multiple (LCM) of 153 and 68 is 612.
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 68?
First, calculate the GCD of 153 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 68 = 2 remainder 17 |
| 2 | 68 ÷ 17 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 59 | 10384 |
| 52 and 174 | 4524 |
| 195 and 155 | 6045 |
| 129 and 176 | 22704 |
| 127 and 153 | 19431 |