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Least Common Multiple (LCM) of 190 and 168

The least common multiple (LCM) of 190 and 168 is 15960.

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 190 and 168?

First, calculate the GCD of 190 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 190 ÷ 168 = 1 remainder 22
2 168 ÷ 22 = 7 remainder 14
3 22 ÷ 14 = 1 remainder 8
4 14 ÷ 8 = 1 remainder 6
5 8 ÷ 6 = 1 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 1684200
32 and 752400
186 and 13124366
64 and 681088
118 and 1508850

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