Least Common Multiple (LCM) of 154 and 176
The least common multiple (LCM) of 154 and 176 is 1232.
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 154 and 176?
First, calculate the GCD of 154 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 176 = 0 remainder 154 |
| 2 | 176 ÷ 154 = 1 remainder 22 |
| 3 | 154 ÷ 22 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 126 | 630 |
| 153 and 48 | 2448 |
| 169 and 53 | 8957 |
| 115 and 129 | 14835 |
| 74 and 138 | 5106 |