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Least Common Multiple (LCM) of 182 and 133

The least common multiple (LCM) of 182 and 133 is 3458.

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 182 and 133?

First, calculate the GCD of 182 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 182 ÷ 133 = 1 remainder 49
2 133 ÷ 49 = 2 remainder 35
3 49 ÷ 35 = 1 remainder 14
4 35 ÷ 14 = 2 remainder 7
5 14 ÷ 7 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 392301
55 and 1427810
132 and 16610956
95 and 1001900
189 and 12724003

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