
Least Common Multiple (LCM) of 139 and 165
The least common multiple (LCM) of 139 and 165 is 22935.
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 139 and 165?
First, calculate the GCD of 139 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 139 ÷ 165 = 0 remainder 139 |
2 | 165 ÷ 139 = 1 remainder 26 |
3 | 139 ÷ 26 = 5 remainder 9 |
4 | 26 ÷ 9 = 2 remainder 8 |
5 | 9 ÷ 8 = 1 remainder 1 |
6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
143 and 21 | 3003 |
51 and 175 | 8925 |
45 and 37 | 1665 |
171 and 162 | 3078 |
199 and 184 | 36616 |