
Least Common Multiple (LCM) of 70 and 39
The least common multiple (LCM) of 70 and 39 is 2730.
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 70 and 39?
First, calculate the GCD of 70 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 70 ÷ 39 = 1 remainder 31 |
2 | 39 ÷ 31 = 1 remainder 8 |
3 | 31 ÷ 8 = 3 remainder 7 |
4 | 8 ÷ 7 = 1 remainder 1 |
5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
82 and 67 | 5494 |
46 and 113 | 5198 |
161 and 75 | 12075 |
69 and 84 | 1932 |
191 and 96 | 18336 |