Least Common Multiple (LCM) of 60 and 156
The least common multiple (LCM) of 60 and 156 is 780.
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 60 and 156?
First, calculate the GCD of 60 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 156 = 0 remainder 60 |
| 2 | 156 ÷ 60 = 2 remainder 36 |
| 3 | 60 ÷ 36 = 1 remainder 24 |
| 4 | 36 ÷ 24 = 1 remainder 12 |
| 5 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 137 | 26578 |
| 189 and 43 | 8127 |
| 147 and 64 | 9408 |
| 158 and 128 | 10112 |
| 41 and 142 | 5822 |