Least Common Multiple (LCM) of 151 and 21
The least common multiple (LCM) of 151 and 21 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 151 and 21?
First, calculate the GCD of 151 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 21 = 7 remainder 4 |
| 2 | 21 ÷ 4 = 5 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 36 | 612 |
| 38 and 135 | 5130 |
| 160 and 71 | 11360 |
| 116 and 197 | 22852 |
| 47 and 20 | 940 |