
Least Common Multiple (LCM) of 140 and 156
The least common multiple (LCM) of 140 and 156 is 5460.
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 156?
First, calculate the GCD of 140 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 140 ÷ 156 = 0 remainder 140 |
2 | 156 ÷ 140 = 1 remainder 16 |
3 | 140 ÷ 16 = 8 remainder 12 |
4 | 16 ÷ 12 = 1 remainder 4 |
5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
13 and 48 | 624 |
123 and 110 | 13530 |
173 and 59 | 10207 |
170 and 51 | 510 |
31 and 106 | 3286 |