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Least Common Multiple (LCM) of 178 and 164

The least common multiple (LCM) of 178 and 164 is 14596.

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 178 and 164?

First, calculate the GCD of 178 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 164 = 1 remainder 14
2 164 ÷ 14 = 11 remainder 10
3 14 ÷ 10 = 1 remainder 4
4 10 ÷ 4 = 2 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
178 and 19334354
110 and 522860
13 and 1011313
73 and 16612118
97 and 201940

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