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 |
|---|---|
| 123 and 129 | 5289 |
| 151 and 118 | 17818 |
| 78 and 159 | 4134 |
| 142 and 170 | 12070 |
| 32 and 123 | 3936 |