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Least Common Multiple (LCM) of 197 and 88

The least common multiple (LCM) of 197 and 88 is 17336.

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 197 and 88?

First, calculate the GCD of 197 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 88 = 2 remainder 21
2 88 ÷ 21 = 4 remainder 4
3 21 ÷ 4 = 5 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
31 and 1404340
69 and 1683864
169 and 12420956
49 and 592891
145 and 17725665

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