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Least Common Multiple (LCM) of 134 and 73

The least common multiple (LCM) of 134 and 73 is 9782.

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 134 and 73?

First, calculate the GCD of 134 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 73 = 1 remainder 61
2 73 ÷ 61 = 1 remainder 12
3 61 ÷ 12 = 5 remainder 1
4 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
133 and 202660
163 and 416683
160 and 17413920
97 and 131261
46 and 1804140

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