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Least Common Multiple (LCM) of 165 and 48

The least common multiple (LCM) of 165 and 48 is 2640.

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 165 and 48?

First, calculate the GCD of 165 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 48 = 3 remainder 21
2 48 ÷ 21 = 2 remainder 6
3 21 ÷ 6 = 3 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 12821120
187 and 1542618
89 and 16814952
94 and 1687896
112 and 1669296

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