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Least Common Multiple (LCM) of 173 and 10

The least common multiple (LCM) of 173 and 10 is 1730.

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 173 and 10?

First, calculate the GCD of 173 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 10 = 17 remainder 3
2 10 ÷ 3 = 3 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 312356
139 and 13018070
189 and 12423436
48 and 1557440
69 and 1047176

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