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Least Common Multiple (LCM) of 69 and 22

The least common multiple (LCM) of 69 and 22 is 1518.

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 22?

First, calculate the GCD of 69 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 22 = 3 remainder 3
2 22 ÷ 3 = 7 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
153 and 1983366
92 and 863956
33 and 1254125
189 and 573591
152 and 1084104

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