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Least Common Multiple (LCM) of 58 and 84

The least common multiple (LCM) of 58 and 84 is 2436.

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 58 and 84?

First, calculate the GCD of 58 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 84 = 0 remainder 58
2 84 ÷ 58 = 1 remainder 26
3 58 ÷ 26 = 2 remainder 6
4 26 ÷ 6 = 4 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 15711147
146 and 664818
154 and 12519250
122 and 20012200
84 and 655460

Try Calculating LCM of Other Numbers







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