
Least Common Multiple (LCM) of 59 and 37
The least common multiple (LCM) of 59 and 37 is 2183.
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 59 and 37?
First, calculate the GCD of 59 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 59 ÷ 37 = 1 remainder 22 |
2 | 37 ÷ 22 = 1 remainder 15 |
3 | 22 ÷ 15 = 1 remainder 7 |
4 | 15 ÷ 7 = 2 remainder 1 |
5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
173 and 164 | 28372 |
68 and 117 | 7956 |
89 and 151 | 13439 |
87 and 84 | 2436 |
173 and 140 | 24220 |