Least Common Multiple (LCM) of 69 and 148
The least common multiple (LCM) of 69 and 148 is 10212.
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 69 and 148?
First, calculate the GCD of 69 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 148 = 0 remainder 69 |
| 2 | 148 ÷ 69 = 2 remainder 10 |
| 3 | 69 ÷ 10 = 6 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 174 | 3480 |
| 52 and 120 | 1560 |
| 115 and 138 | 690 |
| 22 and 104 | 1144 |
| 123 and 148 | 18204 |