Least Common Multiple (LCM) of 147 and 120
The least common multiple (LCM) of 147 and 120 is 5880.
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 147 and 120?
First, calculate the GCD of 147 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 120 = 1 remainder 27 |
| 2 | 120 ÷ 27 = 4 remainder 12 |
| 3 | 27 ÷ 12 = 2 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 88 | 4488 |
| 157 and 146 | 22922 |
| 13 and 112 | 1456 |
| 165 and 70 | 2310 |
| 37 and 157 | 5809 |