Least Common Multiple (LCM) of 156 and 64
The least common multiple (LCM) of 156 and 64 is 2496.
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 64?
First, calculate the GCD of 156 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 64 = 2 remainder 28 |
| 2 | 64 ÷ 28 = 2 remainder 8 |
| 3 | 28 ÷ 8 = 3 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 87 | 174 |
| 115 and 144 | 16560 |
| 179 and 95 | 17005 |
| 184 and 141 | 25944 |
| 132 and 34 | 2244 |