Least Common Multiple (LCM) of 162 and 74
The least common multiple (LCM) of 162 and 74 is 5994.
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 162 and 74?
First, calculate the GCD of 162 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 74 = 2 remainder 14 |
| 2 | 74 ÷ 14 = 5 remainder 4 |
| 3 | 14 ÷ 4 = 3 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 137 | 11919 |
| 103 and 105 | 10815 |
| 32 and 46 | 736 |
| 159 and 127 | 20193 |
| 153 and 129 | 6579 |