Least Common Multiple (LCM) of 117 and 153
The least common multiple (LCM) of 117 and 153 is 1989.
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 153?
First, calculate the GCD of 117 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 153 = 0 remainder 117 |
| 2 | 153 ÷ 117 = 1 remainder 36 |
| 3 | 117 ÷ 36 = 3 remainder 9 |
| 4 | 36 ÷ 9 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 108 | 7236 |
| 170 and 84 | 7140 |
| 199 and 79 | 15721 |
| 190 and 178 | 16910 |
| 38 and 200 | 3800 |