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Least Common Multiple (LCM) of 65 and 19

The least common multiple (LCM) of 65 and 19 is 1235.

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 65 and 19?

First, calculate the GCD of 65 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 65 ÷ 19 = 3 remainder 8
2 19 ÷ 8 = 2 remainder 3
3 8 ÷ 3 = 2 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 15525420
49 and 1376713
32 and 1033296
137 and 11115207
58 and 17710266

Try Calculating LCM of Other Numbers







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