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Least Common Multiple (LCM) of 121 and 106

The least common multiple (LCM) of 121 and 106 is 12826.

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 121 and 106?

First, calculate the GCD of 121 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 121 ÷ 106 = 1 remainder 15
2 106 ÷ 15 = 7 remainder 1
3 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
180 and 14325740
81 and 18214742
180 and 1555580
69 and 17612144
42 and 853570

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