
Least Common Multiple (LCM) of 72 and 49
The least common multiple (LCM) of 72 and 49 is 3528.
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 72 and 49?
First, calculate the GCD of 72 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 72 ÷ 49 = 1 remainder 23 |
2 | 49 ÷ 23 = 2 remainder 3 |
3 | 23 ÷ 3 = 7 remainder 2 |
4 | 3 ÷ 2 = 1 remainder 1 |
5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
126 and 13 | 1638 |
71 and 200 | 14200 |
141 and 18 | 846 |
167 and 141 | 23547 |
68 and 41 | 2788 |