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Least Common Multiple (LCM) of 123 and 16

The least common multiple (LCM) of 123 and 16 is 1968.

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 123 and 16?

First, calculate the GCD of 123 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 16 = 7 remainder 11
2 16 ÷ 11 = 1 remainder 5
3 11 ÷ 5 = 2 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 42840
88 and 1586952
26 and 832158
200 and 701400
42 and 22462

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