Least Common Multiple (LCM) of 91 and 153
The least common multiple (LCM) of 91 and 153 is 13923.
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 91 and 153?
First, calculate the GCD of 91 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 153 = 0 remainder 91 |
| 2 | 153 ÷ 91 = 1 remainder 62 |
| 3 | 91 ÷ 62 = 1 remainder 29 |
| 4 | 62 ÷ 29 = 2 remainder 4 |
| 5 | 29 ÷ 4 = 7 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 149 | 11324 |
| 32 and 176 | 352 |
| 144 and 23 | 3312 |
| 163 and 32 | 5216 |
| 161 and 169 | 27209 |