Least Common Multiple (LCM) of 152 and 164
The least common multiple (LCM) of 152 and 164 is 6232.
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 152 and 164?
First, calculate the GCD of 152 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 164 = 0 remainder 152 |
| 2 | 164 ÷ 152 = 1 remainder 12 |
| 3 | 152 ÷ 12 = 12 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 177 | 5664 |
| 141 and 62 | 8742 |
| 140 and 192 | 6720 |
| 118 and 60 | 3540 |
| 195 and 120 | 1560 |