
Least Common Multiple (LCM) of 167 and 49
The least common multiple (LCM) of 167 and 49 is 8183.
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 167 and 49?
First, calculate the GCD of 167 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 167 ÷ 49 = 3 remainder 20 |
2 | 49 ÷ 20 = 2 remainder 9 |
3 | 20 ÷ 9 = 2 remainder 2 |
4 | 9 ÷ 2 = 4 remainder 1 |
5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
182 and 49 | 1274 |
23 and 18 | 414 |
27 and 148 | 3996 |
172 and 122 | 10492 |
90 and 49 | 4410 |