Least Common Multiple (LCM) of 35 and 156
The least common multiple (LCM) of 35 and 156 is 5460.
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 35 and 156?
First, calculate the GCD of 35 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 156 = 0 remainder 35 |
| 2 | 156 ÷ 35 = 4 remainder 16 |
| 3 | 35 ÷ 16 = 2 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 115 | 20470 |
| 142 and 53 | 7526 |
| 69 and 87 | 2001 |
| 89 and 120 | 10680 |
| 157 and 188 | 29516 |