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Least Common Multiple (LCM) of 84 and 119

The least common multiple (LCM) of 84 and 119 is 1428.

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 84 and 119?

First, calculate the GCD of 84 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 119 = 0 remainder 84
2 119 ÷ 84 = 1 remainder 35
3 84 ÷ 35 = 2 remainder 14
4 35 ÷ 14 = 2 remainder 7
5 14 ÷ 7 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
28 and 671876
159 and 995247
11 and 1711881
26 and 68884
30 and 40120

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