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Least Common Multiple (LCM) of 29 and 96

The least common multiple (LCM) of 29 and 96 is 2784.

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 29 and 96?

First, calculate the GCD of 29 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 29 ÷ 96 = 0 remainder 29
2 96 ÷ 29 = 3 remainder 9
3 29 ÷ 9 = 3 remainder 2
4 9 ÷ 2 = 4 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
88 and 353080
39 and 612379
27 and 681836
27 and 1072889
70 and 49490

Try Calculating LCM of Other Numbers







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