
Least Common Multiple (LCM) of 200 and 62
The least common multiple (LCM) of 200 and 62 is 6200.
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 62?
First, calculate the GCD of 200 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 200 ÷ 62 = 3 remainder 14 |
2 | 62 ÷ 14 = 4 remainder 6 |
3 | 14 ÷ 6 = 2 remainder 2 |
4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
90 and 187 | 16830 |
176 and 136 | 2992 |
61 and 165 | 10065 |
171 and 89 | 15219 |
22 and 118 | 1298 |