Least Common Multiple (LCM) of 148 and 169
The least common multiple (LCM) of 148 and 169 is 25012.
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 148 and 169?
First, calculate the GCD of 148 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 169 = 0 remainder 148 |
| 2 | 169 ÷ 148 = 1 remainder 21 |
| 3 | 148 ÷ 21 = 7 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 110 | 5940 |
| 175 and 167 | 29225 |
| 129 and 123 | 5289 |
| 115 and 180 | 4140 |
| 72 and 138 | 1656 |