Least Common Multiple (LCM) of 59 and 152
The least common multiple (LCM) of 59 and 152 is 8968.
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 59 and 152?
First, calculate the GCD of 59 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 152 = 0 remainder 59 |
| 2 | 152 ÷ 59 = 2 remainder 34 |
| 3 | 59 ÷ 34 = 1 remainder 25 |
| 4 | 34 ÷ 25 = 1 remainder 9 |
| 5 | 25 ÷ 9 = 2 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 43 | 3225 |
| 110 and 175 | 3850 |
| 10 and 153 | 1530 |
| 156 and 198 | 5148 |
| 148 and 150 | 11100 |