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Least Common Multiple (LCM) of 161 and 97

The least common multiple (LCM) of 161 and 97 is 15617.

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 97?

First, calculate the GCD of 161 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 161 ÷ 97 = 1 remainder 64
2 97 ÷ 64 = 1 remainder 33
3 64 ÷ 33 = 1 remainder 31
4 33 ÷ 31 = 1 remainder 2
5 31 ÷ 2 = 15 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
129 and 1807740
55 and 542970
80 and 14111280
61 and 1006100
87 and 13311571

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