
Least Common Multiple (LCM) of 186 and 174
The least common multiple (LCM) of 186 and 174 is 5394.
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 186 and 174?
First, calculate the GCD of 186 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 186 ÷ 174 = 1 remainder 12 |
2 | 174 ÷ 12 = 14 remainder 6 |
3 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
179 and 184 | 32936 |
140 and 104 | 3640 |
26 and 194 | 2522 |
127 and 163 | 20701 |
119 and 198 | 23562 |