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Least Common Multiple (LCM) of 10 and 148

The least common multiple (LCM) of 10 and 148 is 740.

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 148?

First, calculate the GCD of 10 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 148 = 0 remainder 10
2 148 ÷ 10 = 14 remainder 8
3 10 ÷ 8 = 1 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 1484144
174 and 1056090
164 and 401640
170 and 1856290
194 and 17617072

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