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Least Common Multiple (LCM) of 148 and 188

The least common multiple (LCM) of 148 and 188 is 6956.

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 148 and 188?

First, calculate the GCD of 148 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 148 ÷ 188 = 0 remainder 148
2 188 ÷ 148 = 1 remainder 40
3 148 ÷ 40 = 3 remainder 28
4 40 ÷ 28 = 1 remainder 12
5 28 ÷ 12 = 2 remainder 4
6 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
39 and 169507
85 and 51255
196 and 1165684
15 and 125375
176 and 2004400

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