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Least Common Multiple (LCM) of 69 and 62

The least common multiple (LCM) of 69 and 62 is 4278.

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 62?

First, calculate the GCD of 69 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 62 = 1 remainder 7
2 62 ÷ 7 = 8 remainder 6
3 7 ÷ 6 = 1 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 172172
105 and 1331995
92 and 841932
137 and 9613152
18 and 78234

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