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Least Common Multiple (LCM) of 122 and 32

The least common multiple (LCM) of 122 and 32 is 1952.

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 32?

First, calculate the GCD of 122 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 32 = 3 remainder 26
2 32 ÷ 26 = 1 remainder 6
3 26 ÷ 6 = 4 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
16 and 891424
101 and 17717877
12 and 70420
50 and 1095450
162 and 383078

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