Least Common Multiple (LCM) of 200 and 153
The least common multiple (LCM) of 200 and 153 is 30600.
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 200 and 153?
First, calculate the GCD of 200 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 153 = 1 remainder 47 |
| 2 | 153 ÷ 47 = 3 remainder 12 |
| 3 | 47 ÷ 12 = 3 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 110 | 9790 |
| 108 and 188 | 5076 |
| 160 and 112 | 1120 |
| 102 and 145 | 14790 |
| 161 and 36 | 5796 |