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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
107 and 9410058
139 and 496811
113 and 13715481
161 and 12119481
178 and 14926522

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