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Least Common Multiple (LCM) of 197 and 36

The least common multiple (LCM) of 197 and 36 is 7092.

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 36?

First, calculate the GCD of 197 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 36 = 5 remainder 17
2 36 ÷ 17 = 2 remainder 2
3 17 ÷ 2 = 8 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 19413580
162 and 221782
50 and 65650
132 and 496468
188 and 10720116

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