
Least Common Multiple (LCM) of 156 and 67
The least common multiple (LCM) of 156 and 67 is 10452.
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 156 and 67?
First, calculate the GCD of 156 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 156 ÷ 67 = 2 remainder 22 |
2 | 67 ÷ 22 = 3 remainder 1 |
3 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
97 and 155 | 15035 |
174 and 12 | 348 |
72 and 50 | 1800 |
161 and 69 | 483 |
11 and 57 | 627 |