Least Common Multiple (LCM) of 200 and 70
The least common multiple (LCM) of 200 and 70 is 1400.
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 70?
First, calculate the GCD of 200 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 70 = 2 remainder 60 |
| 2 | 70 ÷ 60 = 1 remainder 10 |
| 3 | 60 ÷ 10 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 117 | 14274 |
| 153 and 172 | 26316 |
| 72 and 152 | 1368 |
| 179 and 86 | 15394 |
| 176 and 87 | 15312 |