Least Common Multiple (LCM) of 120 and 91
The least common multiple (LCM) of 120 and 91 is 10920.
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 120 and 91?
First, calculate the GCD of 120 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 91 = 1 remainder 29 |
| 2 | 91 ÷ 29 = 3 remainder 4 |
| 3 | 29 ÷ 4 = 7 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 50 | 4150 |
| 146 and 41 | 5986 |
| 176 and 23 | 4048 |
| 139 and 75 | 10425 |
| 122 and 134 | 8174 |