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Least Common Multiple (LCM) of 154 and 85

The least common multiple (LCM) of 154 and 85 is 13090.

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 154 and 85?

First, calculate the GCD of 154 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 154 ÷ 85 = 1 remainder 69
2 85 ÷ 69 = 1 remainder 16
3 69 ÷ 16 = 4 remainder 5
4 16 ÷ 5 = 3 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 1008900
106 and 19210176
167 and 11218704
163 and 8313529
142 and 476674

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