Least Common Multiple (LCM) of 174 and 152
The least common multiple (LCM) of 174 and 152 is 13224.
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 174 and 152?
First, calculate the GCD of 174 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 152 = 1 remainder 22 |
| 2 | 152 ÷ 22 = 6 remainder 20 |
| 3 | 22 ÷ 20 = 1 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 93 | 12648 |
| 111 and 121 | 13431 |
| 159 and 85 | 13515 |
| 56 and 92 | 1288 |
| 157 and 181 | 28417 |