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Least Common Multiple (LCM) of 122 and 148

The least common multiple (LCM) of 122 and 148 is 9028.

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 122 and 148?

First, calculate the GCD of 122 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 148 = 0 remainder 122
2 148 ÷ 122 = 1 remainder 26
3 122 ÷ 26 = 4 remainder 18
4 26 ÷ 18 = 1 remainder 8
5 18 ÷ 8 = 2 remainder 2
6 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
56 and 77616
189 and 13024570
13 and 71923
28 and 1734844
177 and 193363

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