
Least Common Multiple (LCM) of 36 and 174
The least common multiple (LCM) of 36 and 174 is 1044.
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 36 and 174?
First, calculate the GCD of 36 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 36 ÷ 174 = 0 remainder 36 |
2 | 174 ÷ 36 = 4 remainder 30 |
3 | 36 ÷ 30 = 1 remainder 6 |
4 | 30 ÷ 6 = 5 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
150 and 118 | 8850 |
28 and 176 | 1232 |
122 and 190 | 11590 |
134 and 22 | 1474 |
194 and 194 | 194 |