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Least Common Multiple (LCM) of 190 and 49

The least common multiple (LCM) of 190 and 49 is 9310.

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 49?

First, calculate the GCD of 190 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 190 ÷ 49 = 3 remainder 43
2 49 ÷ 43 = 1 remainder 6
3 43 ÷ 6 = 7 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
24 and 63504
82 and 10410
61 and 231403
172 and 786708
72 and 19313896

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