
Least Common Multiple (LCM) of 62 and 136
The least common multiple (LCM) of 62 and 136 is 4216.
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 62 and 136?
First, calculate the GCD of 62 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 62 ÷ 136 = 0 remainder 62 |
2 | 136 ÷ 62 = 2 remainder 12 |
3 | 62 ÷ 12 = 5 remainder 2 |
4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
144 and 28 | 1008 |
185 and 163 | 30155 |
86 and 10 | 430 |
178 and 93 | 16554 |
153 and 90 | 1530 |