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Least Common Multiple (LCM) of 34 and 96

The least common multiple (LCM) of 34 and 96 is 1632.

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 34 and 96?

First, calculate the GCD of 34 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 96 = 0 remainder 34
2 96 ÷ 34 = 2 remainder 28
3 34 ÷ 28 = 1 remainder 6
4 28 ÷ 6 = 4 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 735548
16 and 2080
194 and 377178
73 and 604380
118 and 18521830

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