Least Common Multiple (LCM) of 154 and 35
The least common multiple (LCM) of 154 and 35 is 770.
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 154 and 35?
First, calculate the GCD of 154 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 35 = 4 remainder 14 |
| 2 | 35 ÷ 14 = 2 remainder 7 |
| 3 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 15 | 135 |
| 124 and 193 | 23932 |
| 12 and 175 | 2100 |
| 80 and 168 | 1680 |
| 111 and 83 | 9213 |