Least Common Multiple (LCM) of 56 and 150
The least common multiple (LCM) of 56 and 150 is 4200.
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 56 and 150?
First, calculate the GCD of 56 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 150 = 0 remainder 56 |
| 2 | 150 ÷ 56 = 2 remainder 38 |
| 3 | 56 ÷ 38 = 1 remainder 18 |
| 4 | 38 ÷ 18 = 2 remainder 2 |
| 5 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 86 | 5332 |
| 143 and 41 | 5863 |
| 154 and 65 | 10010 |
| 23 and 140 | 3220 |
| 72 and 99 | 792 |