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Least Common Multiple (LCM) of 133 and 174

The least common multiple (LCM) of 133 and 174 is 23142.

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 133 and 174?

First, calculate the GCD of 133 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 133 ÷ 174 = 0 remainder 133
2 174 ÷ 133 = 1 remainder 41
3 133 ÷ 41 = 3 remainder 10
4 41 ÷ 10 = 4 remainder 1
5 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
101 and 17217372
194 and 194194
160 and 17928640
123 and 1204920
25 and 1964900

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