Least Common Multiple (LCM) of 153 and 34
The least common multiple (LCM) of 153 and 34 is 306.
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 153 and 34?
First, calculate the GCD of 153 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 34 = 4 remainder 17 |
| 2 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 126 | 3906 |
| 43 and 150 | 6450 |
| 123 and 152 | 18696 |
| 124 and 103 | 12772 |
| 162 and 123 | 6642 |