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Least Common Multiple (LCM) of 187 and 196

The least common multiple (LCM) of 187 and 196 is 36652.

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 187 and 196?

First, calculate the GCD of 187 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 187 ÷ 196 = 0 remainder 187
2 196 ÷ 187 = 1 remainder 9
3 187 ÷ 9 = 20 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
84 and 10420
105 and 14615330
22 and 1733806
169 and 7412506
61 and 18111041

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