Least Common Multiple (LCM) of 21 and 151
The least common multiple (LCM) of 21 and 151 is 3171.
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 21 and 151?
First, calculate the GCD of 21 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 21 ÷ 151 = 0 remainder 21 |
| 2 | 151 ÷ 21 = 7 remainder 4 |
| 3 | 21 ÷ 4 = 5 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 53 | 3763 |
| 187 and 27 | 5049 |
| 131 and 59 | 7729 |
| 166 and 160 | 13280 |
| 148 and 99 | 14652 |