Least Common Multiple (LCM) of 152 and 99
The least common multiple (LCM) of 152 and 99 is 15048.
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 152 and 99?
First, calculate the GCD of 152 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 99 = 1 remainder 53 |
| 2 | 99 ÷ 53 = 1 remainder 46 |
| 3 | 53 ÷ 46 = 1 remainder 7 |
| 4 | 46 ÷ 7 = 6 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 186 | 13206 |
| 151 and 107 | 16157 |
| 194 and 153 | 29682 |
| 128 and 142 | 9088 |
| 184 and 24 | 552 |