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Least Common Multiple (LCM) of 10 and 74

The least common multiple (LCM) of 10 and 74 is 370.

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 10 and 74?

First, calculate the GCD of 10 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 74 = 0 remainder 10
2 74 ÷ 10 = 7 remainder 4
3 10 ÷ 4 = 2 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 17918616
157 and 7511775
93 and 1745394
121 and 161936
74 and 392886

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