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Least Common Multiple (LCM) of 178 and 162

The least common multiple (LCM) of 178 and 162 is 14418.

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 178 and 162?

First, calculate the GCD of 178 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 162 = 1 remainder 16
2 162 ÷ 16 = 10 remainder 2
3 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
199 and 15430646
128 and 455760
49 and 1557595
158 and 6910902
147 and 12217934

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