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Least Common Multiple (LCM) of 180 and 19

The least common multiple (LCM) of 180 and 19 is 3420.

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 180 and 19?

First, calculate the GCD of 180 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 180 ÷ 19 = 9 remainder 9
2 19 ÷ 9 = 2 remainder 1
3 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
45 and 411845
93 and 12511625
20 and 1181180
27 and 33297
89 and 16114329

Try Calculating LCM of Other Numbers







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