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Least Common Multiple (LCM) of 197 and 162

The least common multiple (LCM) of 197 and 162 is 31914.

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 197 and 162?

First, calculate the GCD of 197 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 162 = 1 remainder 35
2 162 ÷ 35 = 4 remainder 22
3 35 ÷ 22 = 1 remainder 13
4 22 ÷ 13 = 1 remainder 9
5 13 ÷ 9 = 1 remainder 4
6 9 ÷ 4 = 2 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
102 and 1286528
85 and 937905
58 and 922668
134 and 1208040
160 and 274320

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