
Least Common Multiple (LCM) of 119 and 20
The least common multiple (LCM) of 119 and 20 is 2380.
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 20?
First, calculate the GCD of 119 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 119 ÷ 20 = 5 remainder 19 |
2 | 20 ÷ 19 = 1 remainder 1 |
3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
185 and 61 | 11285 |
95 and 132 | 12540 |
113 and 153 | 17289 |
108 and 83 | 8964 |
16 and 51 | 816 |