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Least Common Multiple (LCM) of 146 and 17

The least common multiple (LCM) of 146 and 17 is 2482.

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 146 and 17?

First, calculate the GCD of 146 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 146 ÷ 17 = 8 remainder 10
2 17 ÷ 10 = 1 remainder 7
3 10 ÷ 7 = 1 remainder 3
4 7 ÷ 3 = 2 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
61 and 744514
161 and 13722057
193 and 11522195
108 and 1921728
188 and 13124628

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