
Least Common Multiple (LCM) of 118 and 102
The least common multiple (LCM) of 118 and 102 is 6018.
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 102?
First, calculate the GCD of 118 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 118 ÷ 102 = 1 remainder 16 |
2 | 102 ÷ 16 = 6 remainder 6 |
3 | 16 ÷ 6 = 2 remainder 4 |
4 | 6 ÷ 4 = 1 remainder 2 |
5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
81 and 114 | 3078 |
117 and 61 | 7137 |
50 and 134 | 3350 |
176 and 123 | 21648 |
50 and 76 | 1900 |