
Least Common Multiple (LCM) of 119 and 58
The least common multiple (LCM) of 119 and 58 is 6902.
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 119 and 58?
First, calculate the GCD of 119 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 119 ÷ 58 = 2 remainder 3 |
2 | 58 ÷ 3 = 19 remainder 1 |
3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
103 and 22 | 2266 |
99 and 162 | 1782 |
166 and 197 | 32702 |
145 and 124 | 17980 |
12 and 30 | 60 |