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Least Common Multiple (LCM) of 195 and 148

The least common multiple (LCM) of 195 and 148 is 28860.

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 195 and 148?

First, calculate the GCD of 195 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 195 ÷ 148 = 1 remainder 47
2 148 ÷ 47 = 3 remainder 7
3 47 ÷ 7 = 6 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 14915943
96 and 15114496
159 and 19631164
87 and 12711049
35 and 1901330

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