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Least Common Multiple (LCM) of 73 and 138

The least common multiple (LCM) of 73 and 138 is 10074.

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 138?

First, calculate the GCD of 73 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 138 = 0 remainder 73
2 138 ÷ 73 = 1 remainder 65
3 73 ÷ 65 = 1 remainder 8
4 65 ÷ 8 = 8 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 9015030
193 and 14127213
177 and 18432568
77 and 1179009
181 and 8615566

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