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Least Common Multiple (LCM) of 172 and 176

The least common multiple (LCM) of 172 and 176 is 7568.

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 172 and 176?

First, calculate the GCD of 172 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 176 = 0 remainder 172
2 176 ÷ 172 = 1 remainder 4
3 172 ÷ 4 = 43 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 599676
31 and 1905890
146 and 16411972
160 and 423360
41 and 813321

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