Least Common Multiple (LCM) of 146 and 153
The least common multiple (LCM) of 146 and 153 is 22338.
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 146 and 153?
First, calculate the GCD of 146 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 153 = 0 remainder 146 |
| 2 | 153 ÷ 146 = 1 remainder 7 |
| 3 | 146 ÷ 7 = 20 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 176 | 6512 |
| 131 and 64 | 8384 |
| 103 and 118 | 12154 |
| 192 and 55 | 10560 |
| 113 and 138 | 15594 |