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Least Common Multiple (LCM) of 22 and 98

The least common multiple (LCM) of 22 and 98 is 1078.

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 22 and 98?

First, calculate the GCD of 22 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 98 = 0 remainder 22
2 98 ÷ 22 = 4 remainder 10
3 22 ÷ 10 = 2 remainder 2
4 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 28532
131 and 17122401
46 and 1242852
171 and 541026
105 and 1866510

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