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Least Common Multiple (LCM) of 92 and 98

The least common multiple (LCM) of 92 and 98 is 4508.

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 92 and 98?

First, calculate the GCD of 92 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 92 ÷ 98 = 0 remainder 92
2 98 ÷ 92 = 1 remainder 6
3 92 ÷ 6 = 15 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 19123684
144 and 172448
80 and 1425680
28 and 1835124
42 and 1556510

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