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Least Common Multiple (LCM) of 12 and 49

The least common multiple (LCM) of 12 and 49 is 588.

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 12 and 49?

First, calculate the GCD of 12 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 12 ÷ 49 = 0 remainder 12
2 49 ÷ 12 = 4 remainder 1
3 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
37 and 1917067
68 and 1117548
145 and 446380
155 and 9915345
163 and 19832274

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