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Least Common Multiple (LCM) of 196 and 176

The least common multiple (LCM) of 196 and 176 is 8624.

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 196 and 176?

First, calculate the GCD of 196 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 176 = 1 remainder 20
2 176 ÷ 20 = 8 remainder 16
3 20 ÷ 16 = 1 remainder 4
4 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
148 and 74148
191 and 10319673
195 and 1388970
54 and 1343618
193 and 519843

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