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Least Common Multiple (LCM) of 73 and 37

The least common multiple (LCM) of 73 and 37 is 2701.

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 73 and 37?

First, calculate the GCD of 73 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 37 = 1 remainder 36
2 37 ÷ 36 = 1 remainder 1
3 36 ÷ 1 = 36 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 1965292
62 and 16510230
194 and 11210864
121 and 364356
166 and 544482

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