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Least Common Multiple (LCM) of 92 and 17

The least common multiple (LCM) of 92 and 17 is 1564.

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 92 and 17?

First, calculate the GCD of 92 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 92 ÷ 17 = 5 remainder 7
2 17 ÷ 7 = 2 remainder 3
3 7 ÷ 3 = 2 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 19211328
38 and 1395282
111 and 687548
188 and 12611844
101 and 10310403

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