
Least Common Multiple (LCM) of 69 and 62
The least common multiple (LCM) of 69 and 62 is 4278.
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 69 and 62?
First, calculate the GCD of 69 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 69 ÷ 62 = 1 remainder 7 |
2 | 62 ÷ 7 = 8 remainder 6 |
3 | 7 ÷ 6 = 1 remainder 1 |
4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
172 and 172 | 172 |
105 and 133 | 1995 |
92 and 84 | 1932 |
137 and 96 | 13152 |
18 and 78 | 234 |