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Least Common Multiple (LCM) of 169 and 38

The least common multiple (LCM) of 169 and 38 is 6422.

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 169 and 38?

First, calculate the GCD of 169 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 38 = 4 remainder 17
2 38 ÷ 17 = 2 remainder 4
3 17 ÷ 4 = 4 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 140560
179 and 8815752
44 and 1783916
111 and 14616206
74 and 251850

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