
Least Common Multiple (LCM) of 164 and 85
The least common multiple (LCM) of 164 and 85 is 13940.
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 164 and 85?
First, calculate the GCD of 164 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 164 ÷ 85 = 1 remainder 79 |
2 | 85 ÷ 79 = 1 remainder 6 |
3 | 79 ÷ 6 = 13 remainder 1 |
4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
92 and 30 | 1380 |
192 and 25 | 4800 |
54 and 50 | 1350 |
136 and 103 | 14008 |
156 and 143 | 1716 |