
Least Common Multiple (LCM) of 36 and 114
The least common multiple (LCM) of 36 and 114 is 684.
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 114?
First, calculate the GCD of 36 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 36 ÷ 114 = 0 remainder 36 |
2 | 114 ÷ 36 = 3 remainder 6 |
3 | 36 ÷ 6 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
190 and 106 | 10070 |
44 and 164 | 1804 |
149 and 150 | 22350 |
63 and 18 | 126 |
110 and 187 | 1870 |