Least Common Multiple (LCM) of 62 and 150
The least common multiple (LCM) of 62 and 150 is 4650.
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 62 and 150?
First, calculate the GCD of 62 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 150 = 0 remainder 62 |
| 2 | 150 ÷ 62 = 2 remainder 26 |
| 3 | 62 ÷ 26 = 2 remainder 10 |
| 4 | 26 ÷ 10 = 2 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 31 | 4030 |
| 176 and 119 | 20944 |
| 128 and 123 | 15744 |
| 195 and 114 | 7410 |
| 187 and 135 | 25245 |