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Least Common Multiple (LCM) of 153 and 18

The least common multiple (LCM) of 153 and 18 is 306.

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 153 and 18?

First, calculate the GCD of 153 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 18 = 8 remainder 9
2 18 ÷ 9 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 332013
97 and 18618042
73 and 1339709
180 and 625580
140 and 19413580

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