Least Common Multiple (LCM) of 152 and 29
The least common multiple (LCM) of 152 and 29 is 4408.
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 29?
First, calculate the GCD of 152 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 29 = 5 remainder 7 |
| 2 | 29 ÷ 7 = 4 remainder 1 |
| 3 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 24 | 744 |
| 171 and 199 | 34029 |
| 185 and 167 | 30895 |
| 141 and 40 | 5640 |
| 72 and 52 | 936 |