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Least Common Multiple (LCM) of 28 and 148

The least common multiple (LCM) of 28 and 148 is 1036.

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 28 and 148?

First, calculate the GCD of 28 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 148 = 0 remainder 28
2 148 ÷ 28 = 5 remainder 8
3 28 ÷ 8 = 3 remainder 4
4 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 1364216
103 and 697107
17 and 691173
70 and 17111970
46 and 1175382

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