
Least Common Multiple (LCM) of 174 and 40
The least common multiple (LCM) of 174 and 40 is 3480.
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 174 and 40?
First, calculate the GCD of 174 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 174 ÷ 40 = 4 remainder 14 |
2 | 40 ÷ 14 = 2 remainder 12 |
3 | 14 ÷ 12 = 1 remainder 2 |
4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
193 and 139 | 26827 |
125 and 100 | 500 |
151 and 150 | 22650 |
108 and 167 | 18036 |
143 and 140 | 20020 |