Least Common Multiple (LCM) of 156 and 35
The least common multiple (LCM) of 156 and 35 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 156 and 35?
First, calculate the GCD of 156 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 35 = 4 remainder 16 |
| 2 | 35 ÷ 16 = 2 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 189 | 7560 |
| 140 and 123 | 17220 |
| 32 and 57 | 1824 |
| 90 and 184 | 8280 |
| 160 and 33 | 5280 |