
Least Common Multiple (LCM) of 140 and 31
The least common multiple (LCM) of 140 and 31 is 4340.
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 140 and 31?
First, calculate the GCD of 140 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 140 ÷ 31 = 4 remainder 16 |
2 | 31 ÷ 16 = 1 remainder 15 |
3 | 16 ÷ 15 = 1 remainder 1 |
4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
167 and 95 | 15865 |
25 and 68 | 1700 |
63 and 179 | 11277 |
136 and 52 | 1768 |
135 and 153 | 2295 |