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Least Common Multiple (LCM) of 16 and 158

The least common multiple (LCM) of 16 and 158 is 1264.

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 16 and 158?

First, calculate the GCD of 16 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 158 = 0 remainder 16
2 158 ÷ 16 = 9 remainder 14
3 16 ÷ 14 = 1 remainder 2
4 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 1704930
118 and 374366
139 and 314309
183 and 10318849
137 and 638631

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