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Least Common Multiple (LCM) of 142 and 50

The least common multiple (LCM) of 142 and 50 is 3550.

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 50?

First, calculate the GCD of 142 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 50 = 2 remainder 42
2 50 ÷ 42 = 1 remainder 8
3 42 ÷ 8 = 5 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 1101540
52 and 30780
150 and 745550
138 and 322208
200 and 9719400

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