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Least Common Multiple (LCM) of 165 and 142

The least common multiple (LCM) of 165 and 142 is 23430.

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 165 and 142?

First, calculate the GCD of 165 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 142 = 1 remainder 23
2 142 ÷ 23 = 6 remainder 4
3 23 ÷ 4 = 5 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
56 and 1417896
42 and 1832562
103 and 555665
11 and 15165
174 and 15727318

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