Least Common Multiple (LCM) of 149 and 120
The least common multiple (LCM) of 149 and 120 is 17880.
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 149 and 120?
First, calculate the GCD of 149 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 120 = 1 remainder 29 |
| 2 | 120 ÷ 29 = 4 remainder 4 |
| 3 | 29 ÷ 4 = 7 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 71 | 7029 |
| 124 and 128 | 3968 |
| 80 and 125 | 2000 |
| 47 and 45 | 2115 |
| 173 and 74 | 12802 |