
Least Common Multiple (LCM) of 142 and 194
The least common multiple (LCM) of 142 and 194 is 13774.
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 142 and 194?
First, calculate the GCD of 142 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 142 ÷ 194 = 0 remainder 142 |
2 | 194 ÷ 142 = 1 remainder 52 |
3 | 142 ÷ 52 = 2 remainder 38 |
4 | 52 ÷ 38 = 1 remainder 14 |
5 | 38 ÷ 14 = 2 remainder 10 |
6 | 14 ÷ 10 = 1 remainder 4 |
7 | 10 ÷ 4 = 2 remainder 2 |
8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
81 and 169 | 13689 |
87 and 143 | 12441 |
152 and 17 | 2584 |
99 and 35 | 3465 |
149 and 33 | 4917 |