Least Common Multiple (LCM) of 174 and 79
The least common multiple (LCM) of 174 and 79 is 13746.
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 174 and 79?
First, calculate the GCD of 174 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 79 = 2 remainder 16 |
| 2 | 79 ÷ 16 = 4 remainder 15 |
| 3 | 16 ÷ 15 = 1 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 135 | 24030 |
| 155 and 56 | 8680 |
| 177 and 153 | 9027 |
| 119 and 135 | 16065 |
| 188 and 160 | 7520 |