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Least Common Multiple (LCM) of 69 and 73

The least common multiple (LCM) of 69 and 73 is 5037.

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 73?

First, calculate the GCD of 69 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 73 = 0 remainder 69
2 73 ÷ 69 = 1 remainder 4
3 69 ÷ 4 = 17 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
130 and 1127280
22 and 58638
194 and 5911446
75 and 1684200
59 and 311829

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