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Least Common Multiple (LCM) of 186 and 148

The least common multiple (LCM) of 186 and 148 is 13764.

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 186 and 148?

First, calculate the GCD of 186 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 148 = 1 remainder 38
2 148 ÷ 38 = 3 remainder 34
3 38 ÷ 34 = 1 remainder 4
4 34 ÷ 4 = 8 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 1363672
73 and 997227
65 and 195195
111 and 17018870
132 and 802640

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