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Least Common Multiple (LCM) of 142 and 163

The least common multiple (LCM) of 142 and 163 is 23146.

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 142 and 163?

First, calculate the GCD of 142 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 163 = 0 remainder 142
2 163 ÷ 142 = 1 remainder 21
3 142 ÷ 21 = 6 remainder 16
4 21 ÷ 16 = 1 remainder 5
5 16 ÷ 5 = 3 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 10315141
74 and 1339842
182 and 13524570
72 and 1077704
179 and 14325597

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