
Least Common Multiple (LCM) of 148 and 39
The least common multiple (LCM) of 148 and 39 is 5772.
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 148 and 39?
First, calculate the GCD of 148 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 148 ÷ 39 = 3 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 |
---|---|
147 and 149 | 21903 |
11 and 98 | 1078 |
112 and 158 | 8848 |
21 and 40 | 840 |
47 and 48 | 2256 |