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Least Common Multiple (LCM) of 102 and 178

The least common multiple (LCM) of 102 and 178 is 9078.

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 102 and 178?

First, calculate the GCD of 102 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 102 ÷ 178 = 0 remainder 102
2 178 ÷ 102 = 1 remainder 76
3 102 ÷ 76 = 1 remainder 26
4 76 ÷ 26 = 2 remainder 24
5 26 ÷ 24 = 1 remainder 2
6 24 ÷ 2 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 1295160
65 and 533445
151 and 15423254
126 and 293654
148 and 321184

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