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Least Common Multiple (LCM) of 91 and 69

The least common multiple (LCM) of 91 and 69 is 6279.

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 91 and 69?

First, calculate the GCD of 91 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 69 = 1 remainder 22
2 69 ÷ 22 = 3 remainder 3
3 22 ÷ 3 = 7 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 17625872
66 and 1954290
99 and 11911781
19 and 981862
168 and 14612264

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