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Least Common Multiple (LCM) of 85 and 168

The least common multiple (LCM) of 85 and 168 is 14280.

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 85 and 168?

First, calculate the GCD of 85 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 85 ÷ 168 = 0 remainder 85
2 168 ÷ 85 = 1 remainder 83
3 85 ÷ 83 = 1 remainder 2
4 83 ÷ 2 = 41 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
53 and 914823
167 and 17028390
57 and 33627
187 and 15629172
37 and 461702

Try Calculating LCM of Other Numbers







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