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Least Common Multiple (LCM) of 197 and 62

The least common multiple (LCM) of 197 and 62 is 12214.

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 62?

First, calculate the GCD of 197 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 62 = 3 remainder 11
2 62 ÷ 11 = 5 remainder 7
3 11 ÷ 7 = 1 remainder 4
4 7 ÷ 4 = 1 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
79 and 16813272
106 and 373922
125 and 648000
22 and 691518
188 and 11721996

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