Least Common Multiple (LCM) of 146 and 76
The least common multiple (LCM) of 146 and 76 is 5548.
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 76?
First, calculate the GCD of 146 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 76 = 1 remainder 70 |
| 2 | 76 ÷ 70 = 1 remainder 6 |
| 3 | 70 ÷ 6 = 11 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 109 | 13516 |
| 175 and 127 | 22225 |
| 155 and 54 | 8370 |
| 196 and 118 | 11564 |
| 101 and 149 | 15049 |