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Least Common Multiple (LCM) of 169 and 176

The least common multiple (LCM) of 169 and 176 is 29744.

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 169 and 176?

First, calculate the GCD of 169 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 176 = 0 remainder 169
2 176 ÷ 169 = 1 remainder 7
3 169 ÷ 7 = 24 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 11920706
195 and 1802340
80 and 796320
166 and 383154
162 and 1296966

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