Least Common Multiple (LCM) of 152 and 191
The least common multiple (LCM) of 152 and 191 is 29032.
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 191?
First, calculate the GCD of 152 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 191 = 0 remainder 152 |
| 2 | 191 ÷ 152 = 1 remainder 39 |
| 3 | 152 ÷ 39 = 3 remainder 35 |
| 4 | 39 ÷ 35 = 1 remainder 4 |
| 5 | 35 ÷ 4 = 8 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 132 | 8580 |
| 18 and 53 | 954 |
| 129 and 109 | 14061 |
| 129 and 146 | 18834 |
| 139 and 84 | 11676 |