Least Common Multiple (LCM) of 117 and 152
The least common multiple (LCM) of 117 and 152 is 17784.
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 117 and 152?
First, calculate the GCD of 117 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 152 = 0 remainder 117 |
| 2 | 152 ÷ 117 = 1 remainder 35 |
| 3 | 117 ÷ 35 = 3 remainder 12 |
| 4 | 35 ÷ 12 = 2 remainder 11 |
| 5 | 12 ÷ 11 = 1 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 50 | 5650 |
| 69 and 125 | 8625 |
| 49 and 79 | 3871 |
| 134 and 94 | 6298 |
| 68 and 26 | 884 |