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Least Common Multiple (LCM) of 183 and 74

The least common multiple (LCM) of 183 and 74 is 13542.

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 183 and 74?

First, calculate the GCD of 183 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 183 ÷ 74 = 2 remainder 35
2 74 ÷ 35 = 2 remainder 4
3 35 ÷ 4 = 8 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 1742610
170 and 335610
74 and 26962
31 and 1123472
43 and 753225

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