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Least Common Multiple (LCM) of 122 and 102

The least common multiple (LCM) of 122 and 102 is 6222.

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 102?

First, calculate the GCD of 122 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 102 = 1 remainder 20
2 102 ÷ 20 = 5 remainder 2
3 20 ÷ 2 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 436235
64 and 1076848
136 and 9112376
40 and 1576280
94 and 17716638

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