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Least Common Multiple (LCM) of 78 and 190

The least common multiple (LCM) of 78 and 190 is 7410.

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 78 and 190?

First, calculate the GCD of 78 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 190 = 0 remainder 78
2 190 ÷ 78 = 2 remainder 34
3 78 ÷ 34 = 2 remainder 10
4 34 ÷ 10 = 3 remainder 4
5 10 ÷ 4 = 2 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
162 and 619882
175 and 447700
113 and 14616498
116 and 18921924
143 and 12818304

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