Least Common Multiple (LCM) of 123 and 151
The least common multiple (LCM) of 123 and 151 is 18573.
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 123 and 151?
First, calculate the GCD of 123 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 151 = 0 remainder 123 |
| 2 | 151 ÷ 123 = 1 remainder 28 |
| 3 | 123 ÷ 28 = 4 remainder 11 |
| 4 | 28 ÷ 11 = 2 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 44 | 4092 |
| 33 and 31 | 1023 |
| 106 and 14 | 742 |
| 196 and 143 | 28028 |
| 90 and 76 | 3420 |