Least Common Multiple (LCM) of 139 and 151
The least common multiple (LCM) of 139 and 151 is 20989.
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 139 and 151?
First, calculate the GCD of 139 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 151 = 0 remainder 139 |
| 2 | 151 ÷ 139 = 1 remainder 12 |
| 3 | 139 ÷ 12 = 11 remainder 7 |
| 4 | 12 ÷ 7 = 1 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 123 | 3936 |
| 163 and 105 | 17115 |
| 101 and 134 | 13534 |
| 80 and 177 | 14160 |
| 104 and 157 | 16328 |