Least Common Multiple (LCM) of 153 and 91
The least common multiple (LCM) of 153 and 91 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 153 and 91?
First, calculate the GCD of 153 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 91 = 1 remainder 62 |
| 2 | 91 ÷ 62 = 1 remainder 29 |
| 3 | 62 ÷ 29 = 2 remainder 4 |
| 4 | 29 ÷ 4 = 7 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 51 | 6987 |
| 188 and 195 | 36660 |
| 18 and 73 | 1314 |
| 131 and 35 | 4585 |
| 109 and 132 | 14388 |