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 106 | 1802 |
| 153 and 73 | 11169 |
| 72 and 18 | 72 |
| 167 and 54 | 9018 |
| 150 and 91 | 13650 |