Least Common Multiple (LCM) of 36 and 124
The least common multiple (LCM) of 36 and 124 is 1116.
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 36 and 124?
First, calculate the GCD of 36 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 124 = 0 remainder 36 |
| 2 | 124 ÷ 36 = 3 remainder 16 |
| 3 | 36 ÷ 16 = 2 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 186 | 22134 |
| 74 and 135 | 9990 |
| 120 and 61 | 7320 |
| 178 and 160 | 14240 |
| 183 and 180 | 10980 |