
Least Common Multiple (LCM) of 10 and 170
The least common multiple (LCM) of 10 and 170 is 170.
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 10 and 170?
First, calculate the GCD of 10 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 10 ÷ 170 = 0 remainder 10 |
2 | 170 ÷ 10 = 17 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
175 and 162 | 28350 |
180 and 199 | 35820 |
18 and 59 | 1062 |
104 and 79 | 8216 |
137 and 102 | 13974 |