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Least Common Multiple (LCM) of 119 and 84

The least common multiple (LCM) of 119 and 84 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 119 and 84?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
192 and 30960
114 and 14316302
190 and 8916910
146 and 443212
121 and 16319723

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