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Least Common Multiple (LCM) of 69 and 32

The least common multiple (LCM) of 69 and 32 is 2208.

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 69 and 32?

First, calculate the GCD of 69 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 32 = 2 remainder 5
2 32 ÷ 5 = 6 remainder 2
3 5 ÷ 2 = 2 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 18831020
69 and 15810902
80 and 131040
187 and 5911033
161 and 12720447

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