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Least Common Multiple (LCM) of 93 and 168

The least common multiple (LCM) of 93 and 168 is 5208.

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 93 and 168?

First, calculate the GCD of 93 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 93 ÷ 168 = 0 remainder 93
2 168 ÷ 93 = 1 remainder 75
3 93 ÷ 75 = 1 remainder 18
4 75 ÷ 18 = 4 remainder 3
5 18 ÷ 3 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 899879
146 and 517446
190 and 1603040
134 and 1369112
146 and 1188614

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