Least Common Multiple (LCM) of 152 and 200
The least common multiple (LCM) of 152 and 200 is 3800.
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 200?
First, calculate the GCD of 152 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 200 = 0 remainder 152 |
| 2 | 200 ÷ 152 = 1 remainder 48 |
| 3 | 152 ÷ 48 = 3 remainder 8 |
| 4 | 48 ÷ 8 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 111 | 14097 |
| 13 and 160 | 2080 |
| 149 and 187 | 27863 |
| 155 and 55 | 1705 |
| 149 and 135 | 20115 |