Least Common Multiple (LCM) of 59 and 153
The least common multiple (LCM) of 59 and 153 is 9027.
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 153?
First, calculate the GCD of 59 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 153 = 0 remainder 59 |
| 2 | 153 ÷ 59 = 2 remainder 35 |
| 3 | 59 ÷ 35 = 1 remainder 24 |
| 4 | 35 ÷ 24 = 1 remainder 11 |
| 5 | 24 ÷ 11 = 2 remainder 2 |
| 6 | 11 ÷ 2 = 5 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 145 | 870 |
| 127 and 114 | 14478 |
| 76 and 176 | 3344 |
| 17 and 15 | 255 |
| 112 and 15 | 1680 |