Least Common Multiple (LCM) of 74 and 59
The least common multiple (LCM) of 74 and 59 is 4366.
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 74 and 59?
First, calculate the GCD of 74 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 59 = 1 remainder 15 |
| 2 | 59 ÷ 15 = 3 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 86 | 8858 |
| 77 and 113 | 8701 |
| 165 and 103 | 16995 |
| 188 and 73 | 13724 |
| 80 and 102 | 4080 |