Least Common Multiple (LCM) of 156 and 174
The least common multiple (LCM) of 156 and 174 is 4524.
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 156 and 174?
First, calculate the GCD of 156 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 174 = 0 remainder 156 |
| 2 | 174 ÷ 156 = 1 remainder 18 |
| 3 | 156 ÷ 18 = 8 remainder 12 |
| 4 | 18 ÷ 12 = 1 remainder 6 |
| 5 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 182 | 33670 |
| 131 and 70 | 9170 |
| 160 and 14 | 1120 |
| 98 and 150 | 7350 |
| 75 and 45 | 225 |