Least Common Multiple (LCM) of 176 and 153
The least common multiple (LCM) of 176 and 153 is 26928.
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 176 and 153?
First, calculate the GCD of 176 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 153 = 1 remainder 23 |
| 2 | 153 ÷ 23 = 6 remainder 15 |
| 3 | 23 ÷ 15 = 1 remainder 8 |
| 4 | 15 ÷ 8 = 1 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 163 | 17767 |
| 59 and 64 | 3776 |
| 127 and 120 | 15240 |
| 196 and 44 | 2156 |
| 66 and 55 | 330 |