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Least Common Multiple (LCM) of 109 and 143

The least common multiple (LCM) of 109 and 143 is 15587.

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 109 and 143?

First, calculate the GCD of 109 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 143 = 0 remainder 109
2 143 ÷ 109 = 1 remainder 34
3 109 ÷ 34 = 3 remainder 7
4 34 ÷ 7 = 4 remainder 6
5 7 ÷ 6 = 1 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 1041456
190 and 1756650
74 and 19714578
11 and 37407
155 and 8813640

Try Calculating LCM of Other Numbers







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