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Least Common Multiple (LCM) of 14 and 118

The least common multiple (LCM) of 14 and 118 is 826.

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 14 and 118?

First, calculate the GCD of 14 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 14 ÷ 118 = 0 remainder 14
2 118 ÷ 14 = 8 remainder 6
3 14 ÷ 6 = 2 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 19929850
56 and 693864
70 and 14910430
66 and 381254
146 and 11316498

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