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Least Common Multiple (LCM) of 169 and 90

The least common multiple (LCM) of 169 and 90 is 15210.

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 169 and 90?

First, calculate the GCD of 169 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 90 = 1 remainder 79
2 90 ÷ 79 = 1 remainder 11
3 79 ÷ 11 = 7 remainder 2
4 11 ÷ 2 = 5 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
136 and 762584
189 and 15829862
106 and 663498
109 and 11912971
68 and 1464964

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