
Least Common Multiple (LCM) of 124 and 171
The least common multiple (LCM) of 124 and 171 is 21204.
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 124 and 171?
First, calculate the GCD of 124 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 124 ÷ 171 = 0 remainder 124 |
2 | 171 ÷ 124 = 1 remainder 47 |
3 | 124 ÷ 47 = 2 remainder 30 |
4 | 47 ÷ 30 = 1 remainder 17 |
5 | 30 ÷ 17 = 1 remainder 13 |
6 | 17 ÷ 13 = 1 remainder 4 |
7 | 13 ÷ 4 = 3 remainder 1 |
8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
162 and 145 | 23490 |
110 and 145 | 3190 |
60 and 169 | 10140 |
176 and 134 | 11792 |
172 and 23 | 3956 |