Least Common Multiple (LCM) of 119 and 35
The least common multiple (LCM) of 119 and 35 is 595.
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 119 and 35?
First, calculate the GCD of 119 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 35 = 3 remainder 14 |
| 2 | 35 ÷ 14 = 2 remainder 7 |
| 3 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 145 | 7395 |
| 180 and 98 | 8820 |
| 41 and 139 | 5699 |
| 192 and 89 | 17088 |
| 108 and 193 | 20844 |