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Least Common Multiple (LCM) of 17 and 124

The least common multiple (LCM) of 17 and 124 is 2108.

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 17 and 124?

First, calculate the GCD of 17 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 17 ÷ 124 = 0 remainder 17
2 124 ÷ 17 = 7 remainder 5
3 17 ÷ 5 = 3 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 421050
36 and 168504
161 and 11818998
135 and 1754725
180 and 1125040

Try Calculating LCM of Other Numbers







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