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Least Common Multiple (LCM) of 122 and 16

The least common multiple (LCM) of 122 and 16 is 976.

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 16?

First, calculate the GCD of 122 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 16 = 7 remainder 10
2 16 ÷ 10 = 1 remainder 6
3 10 ÷ 6 = 1 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
123 and 753075
110 and 1367480
166 and 806640
59 and 1086372
104 and 13914456

Try Calculating LCM of Other Numbers







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