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Least Common Multiple (LCM) of 160 and 197

The least common multiple (LCM) of 160 and 197 is 31520.

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 160 and 197?

First, calculate the GCD of 160 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 160 ÷ 197 = 0 remainder 160
2 197 ÷ 160 = 1 remainder 37
3 160 ÷ 37 = 4 remainder 12
4 37 ÷ 12 = 3 remainder 1
5 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
25 and 85425
29 and 1002900
29 and 611769
163 and 163163
61 and 1187198

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