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Least Common Multiple (LCM) of 45 and 188

The least common multiple (LCM) of 45 and 188 is 8460.

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 45 and 188?

First, calculate the GCD of 45 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 188 = 0 remainder 45
2 188 ÷ 45 = 4 remainder 8
3 45 ÷ 8 = 5 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 11515180
51 and 1618211
41 and 1656765
39 and 1214719
122 and 18522570

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