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Least Common Multiple (LCM) of 174 and 16

The least common multiple (LCM) of 174 and 16 is 1392.

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 174 and 16?

First, calculate the GCD of 174 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 16 = 10 remainder 14
2 16 ÷ 14 = 1 remainder 2
3 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 17812994
148 and 355180
172 and 1767568
112 and 717952
20 and 1613220

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