Least Common Multiple (LCM) of 154 and 147
The least common multiple (LCM) of 154 and 147 is 3234.
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 154 and 147?
First, calculate the GCD of 154 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 147 = 1 remainder 7 |
| 2 | 147 ÷ 7 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 88 | 5544 |
| 112 and 113 | 12656 |
| 134 and 80 | 5360 |
| 199 and 70 | 13930 |
| 108 and 108 | 108 |