
Least Common Multiple (LCM) of 10 and 118
The least common multiple (LCM) of 10 and 118 is 590.
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 10 and 118?
First, calculate the GCD of 10 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 10 ÷ 118 = 0 remainder 10 |
2 | 118 ÷ 10 = 11 remainder 8 |
3 | 10 ÷ 8 = 1 remainder 2 |
4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
89 and 87 | 7743 |
199 and 12 | 2388 |
66 and 34 | 1122 |
58 and 75 | 4350 |
107 and 82 | 8774 |