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Least Common Multiple (LCM) of 74 and 161

The least common multiple (LCM) of 74 and 161 is 11914.

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 74 and 161?

First, calculate the GCD of 74 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 74 ÷ 161 = 0 remainder 74
2 161 ÷ 74 = 2 remainder 13
3 74 ÷ 13 = 5 remainder 9
4 13 ÷ 9 = 1 remainder 4
5 9 ÷ 4 = 2 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
142 and 704970
114 and 313534
182 and 726552
119 and 728568
198 and 1713762

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