Least Common Multiple (LCM) of 147 and 99
The least common multiple (LCM) of 147 and 99 is 4851.
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 99?
First, calculate the GCD of 147 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 99 = 1 remainder 48 |
| 2 | 99 ÷ 48 = 2 remainder 3 |
| 3 | 48 ÷ 3 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 104 | 14248 |
| 164 and 116 | 4756 |
| 15 and 88 | 1320 |
| 160 and 16 | 160 |
| 109 and 168 | 18312 |