Least Common Multiple (LCM) of 153 and 176
The least common multiple (LCM) of 153 and 176 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 153 and 176?
First, calculate the GCD of 153 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 176 = 0 remainder 153 |
| 2 | 176 ÷ 153 = 1 remainder 23 |
| 3 | 153 ÷ 23 = 6 remainder 15 |
| 4 | 23 ÷ 15 = 1 remainder 8 |
| 5 | 15 ÷ 8 = 1 remainder 7 |
| 6 | 8 ÷ 7 = 1 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 87 | 12963 |
| 91 and 45 | 4095 |
| 107 and 22 | 2354 |
| 192 and 199 | 38208 |
| 135 and 185 | 4995 |