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Least Common Multiple (LCM) of 161 and 74

The least common multiple (LCM) of 161 and 74 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 161 and 74?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
129 and 1205160
118 and 623658
197 and 8416548
78 and 42546
77 and 675159

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