Least Common Multiple (LCM) of 174 and 148
The least common multiple (LCM) of 174 and 148 is 12876.
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 148?
First, calculate the GCD of 174 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 148 = 1 remainder 26 |
| 2 | 148 ÷ 26 = 5 remainder 18 |
| 3 | 26 ÷ 18 = 1 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 93 | 3534 |
| 56 and 178 | 4984 |
| 57 and 77 | 4389 |
| 40 and 109 | 4360 |
| 98 and 50 | 2450 |