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Least Common Multiple (LCM) of 84 and 195

The least common multiple (LCM) of 84 and 195 is 5460.

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 84 and 195?

First, calculate the GCD of 84 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 195 = 0 remainder 84
2 195 ÷ 84 = 2 remainder 27
3 84 ÷ 27 = 3 remainder 3
4 27 ÷ 3 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 15019650
57 and 231311
137 and 14920413
160 and 8914240
56 and 1257000

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