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Least Common Multiple (LCM) of 69 and 44

The least common multiple (LCM) of 69 and 44 is 3036.

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 44?

First, calculate the GCD of 69 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 44 = 1 remainder 25
2 44 ÷ 25 = 1 remainder 19
3 25 ÷ 19 = 1 remainder 6
4 19 ÷ 6 = 3 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 1587742
178 and 221958
88 and 1667304
145 and 16123345
188 and 1446768

Try Calculating LCM of Other Numbers







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