Least Common Multiple (LCM) of 72 and 158
The least common multiple (LCM) of 72 and 158 is 5688.
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 72 and 158?
First, calculate the GCD of 72 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 158 = 0 remainder 72 |
| 2 | 158 ÷ 72 = 2 remainder 14 |
| 3 | 72 ÷ 14 = 5 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 50 | 2950 |
| 185 and 87 | 16095 |
| 174 and 191 | 33234 |
| 38 and 102 | 1938 |
| 105 and 83 | 8715 |