Least Common Multiple (LCM) of 151 and 119
The least common multiple (LCM) of 151 and 119 is 17969.
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 119?
First, calculate the GCD of 151 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 119 = 1 remainder 32 |
| 2 | 119 ÷ 32 = 3 remainder 23 |
| 3 | 32 ÷ 23 = 1 remainder 9 |
| 4 | 23 ÷ 9 = 2 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 90 | 10890 |
| 83 and 72 | 5976 |
| 30 and 37 | 1110 |
| 118 and 128 | 7552 |
| 17 and 185 | 3145 |