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Least Common Multiple (LCM) of 178 and 104

The least common multiple (LCM) of 178 and 104 is 9256.

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 104?

First, calculate the GCD of 178 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 104 = 1 remainder 74
2 104 ÷ 74 = 1 remainder 30
3 74 ÷ 30 = 2 remainder 14
4 30 ÷ 14 = 2 remainder 2
5 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 19733490
68 and 17511900
160 and 128640
85 and 14412240
94 and 393666

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