Least Common Multiple (LCM) of 68 and 153
The least common multiple (LCM) of 68 and 153 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 68 and 153?
First, calculate the GCD of 68 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 153 = 0 remainder 68 |
| 2 | 153 ÷ 68 = 2 remainder 17 |
| 3 | 68 ÷ 17 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 182 | 6916 |
| 152 and 100 | 3800 |
| 130 and 155 | 4030 |
| 18 and 177 | 1062 |
| 119 and 111 | 13209 |