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Least Common Multiple (LCM) of 197 and 70

The least common multiple (LCM) of 197 and 70 is 13790.

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 70?

First, calculate the GCD of 197 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 70 = 2 remainder 57
2 70 ÷ 57 = 1 remainder 13
3 57 ÷ 13 = 4 remainder 5
4 13 ÷ 5 = 2 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
92 and 1788188
93 and 191767
187 and 9818326
147 and 18527195
195 and 387410

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