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Least Common Multiple (LCM) of 112 and 119

The least common multiple (LCM) of 112 and 119 is 1904.

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 112 and 119?

First, calculate the GCD of 112 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 112 ÷ 119 = 0 remainder 112
2 119 ÷ 112 = 1 remainder 7
3 112 ÷ 7 = 16 remainder 0

Examples of LCM Calculations

NumbersLCM
75 and 795925
189 and 224158
169 and 315239
133 and 15620748
122 and 1106710

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