
Least Common Multiple (LCM) of 118 and 126
The least common multiple (LCM) of 118 and 126 is 7434.
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 118 and 126?
First, calculate the GCD of 118 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 118 ÷ 126 = 0 remainder 118 |
2 | 126 ÷ 118 = 1 remainder 8 |
3 | 118 ÷ 8 = 14 remainder 6 |
4 | 8 ÷ 6 = 1 remainder 2 |
5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
187 and 173 | 32351 |
85 and 144 | 12240 |
110 and 98 | 5390 |
106 and 193 | 20458 |
81 and 160 | 12960 |