
Least Common Multiple (LCM) of 152 and 59
The least common multiple (LCM) of 152 and 59 is 8968.
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 152 and 59?
First, calculate the GCD of 152 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 152 ÷ 59 = 2 remainder 34 |
2 | 59 ÷ 34 = 1 remainder 25 |
3 | 34 ÷ 25 = 1 remainder 9 |
4 | 25 ÷ 9 = 2 remainder 7 |
5 | 9 ÷ 7 = 1 remainder 2 |
6 | 7 ÷ 2 = 3 remainder 1 |
7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
24 and 94 | 1128 |
145 and 190 | 5510 |
94 and 198 | 9306 |
59 and 51 | 3009 |
129 and 103 | 13287 |