Least Common Multiple (LCM) of 151 and 113
The least common multiple (LCM) of 151 and 113 is 17063.
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 151 and 113?
First, calculate the GCD of 151 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 113 = 1 remainder 38 |
| 2 | 113 ÷ 38 = 2 remainder 37 |
| 3 | 38 ÷ 37 = 1 remainder 1 |
| 4 | 37 ÷ 1 = 37 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 91 | 15743 |
| 92 and 101 | 9292 |
| 180 and 59 | 10620 |
| 83 and 61 | 5063 |
| 21 and 70 | 210 |